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Simplifying x2 + 4x + -3132 = 0 Reorder the terms: -3132 + 4x + x2 = 0 Solving -3132 + 4x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-58 + -1x)(54 + -1x) = 0Subproblem 1
Set the factor '(-58 + -1x)' equal to zero and attempt to solve: Simplifying -58 + -1x = 0 Solving -58 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + -1x = 0 + 58 Combine like terms: -58 + 58 = 0 0 + -1x = 0 + 58 -1x = 0 + 58 Combine like terms: 0 + 58 = 58 -1x = 58 Divide each side by '-1'. x = -58 Simplifying x = -58Subproblem 2
Set the factor '(54 + -1x)' equal to zero and attempt to solve: Simplifying 54 + -1x = 0 Solving 54 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + -1x = 0 + -54 Combine like terms: 54 + -54 = 0 0 + -1x = 0 + -54 -1x = 0 + -54 Combine like terms: 0 + -54 = -54 -1x = -54 Divide each side by '-1'. x = 54 Simplifying x = 54Solution
x = {-58, 54}
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