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Simplifying 592 = x2 + -144x Reorder the terms: 592 = -144x + x2 Solving 592 = -144x + x2 Solving for variable 'x'. Reorder the terms: 592 + 144x + -1x2 = -144x + 144x + x2 + -1x2 Combine like terms: -144x + 144x = 0 592 + 144x + -1x2 = 0 + x2 + -1x2 592 + 144x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 592 + 144x + -1x2 = 0 Factor a trinomial. (148 + -1x)(4 + x) = 0Subproblem 1
Set the factor '(148 + -1x)' equal to zero and attempt to solve: Simplifying 148 + -1x = 0 Solving 148 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-148' to each side of the equation. 148 + -148 + -1x = 0 + -148 Combine like terms: 148 + -148 = 0 0 + -1x = 0 + -148 -1x = 0 + -148 Combine like terms: 0 + -148 = -148 -1x = -148 Divide each side by '-1'. x = 148 Simplifying x = 148Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {148, -4}
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