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Simplifying x2 + 28 + 10x + -4 = 360 Reorder the terms: 28 + -4 + 10x + x2 = 360 Combine like terms: 28 + -4 = 24 24 + 10x + x2 = 360 Solving 24 + 10x + x2 = 360 Solving for variable 'x'. Reorder the terms: 24 + -360 + 10x + x2 = 360 + -360 Combine like terms: 24 + -360 = -336 -336 + 10x + x2 = 360 + -360 Combine like terms: 360 + -360 = 0 -336 + 10x + x2 = 0 Factor a trinomial. (-24 + -1x)(14 + -1x) = 0Subproblem 1
Set the factor '(-24 + -1x)' equal to zero and attempt to solve: Simplifying -24 + -1x = 0 Solving -24 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -1x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -1x = 0 + 24 -1x = 0 + 24 Combine like terms: 0 + 24 = 24 -1x = 24 Divide each side by '-1'. x = -24 Simplifying x = -24Subproblem 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 = {-24, 14}
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