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. Explanation: x3 −5x2 −x+5 = 0 Use a method called "factoring by grouping", which only (2x3-5x2-x+6)=0 Three solutions were found : x = 3/2 = 1.500 x = 2 x = -1 Step by step solution : Step 1 :Equation at the end of step 1 : ( ( (2 • (x3)) - 5x2) - x) + 6 = 0 Step 2x-3=5(2x+3)-9 One solution was found : x = -1 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : More Items. Share. Copy. Copied to clipboard. 8x-6=5\left(2x-5\right) Use the distributive property to multiply 2 by 4x-3. In Mathematics, a commutative property states that if the position of integers are moved around or interchanged while performing addition or multiplication operations, then the answer remains the same. Examples are: 4+5 = 5+4 and 4 x 5 = 5 x 4. 9 + 2 = 2 + 9 and 9 x 2 = 2 x 9. Q2. Solve : 35−2x≤ 6x−5 A [−8,∞) B (7,∞) C (−8,∞) D [8,∞) Medium Solution Verified by Toppr Correct option is D) Given 35−2x≤ 6x−5 ⇒ 35−2x≤ 6x−30 ⇒5−2x≤ 2x−30 ⇒10−4x≤x−30 ⇒5x≥40 ⇒x≥8 ∴ Solution is [8,∞) Was this answer helpful? 0 0 Similar questions Solve: x−42x + x−32x−5= 325 Medium View solution > Solve: z+15z = 94 Medium View solution > View more
5(x+3)=2x+36 One solution was found : x = 7 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :Example \(\PageIndex{5}\) Divide: \(\frac{25x^{2}-5x+10}{5}. Solution:. First, treat this as \(\frac{1}{5}\) times the expression in the numerator and then distribute. This means that NM is equal in length to OL. Setting x + 5 equal to 2x + 3 and solving for x, we find that x = 2. Now we can substitute x back into the original expressions to find the measurements of NM and OL. For NM, we have x + 5 which equals 2 + 5 = 7, and for OL, we have 2x + 3 which equals 2(2) + 3 = 7. Therefore, both NM and OL are 7