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Simplifying 3x2 = -7x + 136 Reorder the terms: 3x2 = 136 + -7x Solving 3x2 = 136 + -7x Solving for variable 'x'. Reorder the terms: -136 + 7x + 3x2 = 136 + -7x + -136 + 7x Reorder the terms: -136 + 7x + 3x2 = 136 + -136 + -7x + 7x Combine like terms: 136 + -136 = 0 -136 + 7x + 3x2 = 0 + -7x + 7x -136 + 7x + 3x2 = -7x + 7x Combine like terms: -7x + 7x = 0 -136 + 7x + 3x2 = 0 Factor a trinomial. (-8 + -1x)(17 + -3x) = 0Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8Subproblem 2
Set the factor '(17 + -3x)' equal to zero and attempt to solve: Simplifying 17 + -3x = 0 Solving 17 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -3x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -3x = 0 + -17 -3x = 0 + -17 Combine like terms: 0 + -17 = -17 -3x = -17 Divide each side by '-3'. x = 5.666666667 Simplifying x = 5.666666667Solution
x = {-8, 5.666666667}
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