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Simplifying 4x2 = 4x + 99 Reorder the terms: 4x2 = 99 + 4x Solving 4x2 = 99 + 4x Solving for variable 'x'. Reorder the terms: -99 + -4x + 4x2 = 99 + 4x + -99 + -4x Reorder the terms: -99 + -4x + 4x2 = 99 + -99 + 4x + -4x Combine like terms: 99 + -99 = 0 -99 + -4x + 4x2 = 0 + 4x + -4x -99 + -4x + 4x2 = 4x + -4x Combine like terms: 4x + -4x = 0 -99 + -4x + 4x2 = 0 Factor a trinomial. (-9 + -2x)(11 + -2x) = 0Subproblem 1
Set the factor '(-9 + -2x)' equal to zero and attempt to solve: Simplifying -9 + -2x = 0 Solving -9 + -2x = 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 + -2x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2x = 0 + 9 -2x = 0 + 9 Combine like terms: 0 + 9 = 9 -2x = 9 Divide each side by '-2'. x = -4.5 Simplifying x = -4.5Subproblem 2
Set the factor '(11 + -2x)' equal to zero and attempt to solve: Simplifying 11 + -2x = 0 Solving 11 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -2x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2x = 0 + -11 -2x = 0 + -11 Combine like terms: 0 + -11 = -11 -2x = -11 Divide each side by '-2'. x = 5.5 Simplifying x = 5.5Solution
x = {-4.5, 5.5}
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