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Simplifying 36 = (4x + -7) * x Reorder the terms: 36 = (-7 + 4x) * x Reorder the terms for easier multiplication: 36 = x(-7 + 4x) 36 = (-7 * x + 4x * x) 36 = (-7x + 4x2) Solving 36 = -7x + 4x2 Solving for variable 'x'. Reorder the terms: 36 + 7x + -4x2 = -7x + 7x + 4x2 + -4x2 Combine like terms: -7x + 7x = 0 36 + 7x + -4x2 = 0 + 4x2 + -4x2 36 + 7x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 36 + 7x + -4x2 = 0 Factor a trinomial. (4 + -1x)(9 + 4x) = 0Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 2
Set the factor '(9 + 4x)' equal to zero and attempt to solve: Simplifying 9 + 4x = 0 Solving 9 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = 0 + -9 4x = 0 + -9 Combine like terms: 0 + -9 = -9 4x = -9 Divide each side by '4'. x = -2.25 Simplifying x = -2.25Solution
x = {4, -2.25}
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