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Simplifying x2 + -3x + -10 = 144 Reorder the terms: -10 + -3x + x2 = 144 Solving -10 + -3x + x2 = 144 Solving for variable 'x'. Reorder the terms: -10 + -144 + -3x + x2 = 144 + -144 Combine like terms: -10 + -144 = -154 -154 + -3x + x2 = 144 + -144 Combine like terms: 144 + -144 = 0 -154 + -3x + x2 = 0 Factor a trinomial. (-11 + -1x)(14 + -1x) = 0Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve: Simplifying -11 + -1x = 0 Solving -11 + -1x = 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 + -1x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 0 + 11 -1x = 0 + 11 Combine like terms: 0 + 11 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14Solution
x = {-11, 14}
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