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Simplifying (x + 2)(x + -3) = 750 Reorder the terms: (2 + x)(x + -3) = 750 Reorder the terms: (2 + x)(-3 + x) = 750 Multiply (2 + x) * (-3 + x) (2(-3 + x) + x(-3 + x)) = 750 ((-3 * 2 + x * 2) + x(-3 + x)) = 750 ((-6 + 2x) + x(-3 + x)) = 750 (-6 + 2x + (-3 * x + x * x)) = 750 (-6 + 2x + (-3x + x2)) = 750 Combine like terms: 2x + -3x = -1x (-6 + -1x + x2) = 750 Solving -6 + -1x + x2 = 750 Solving for variable 'x'. Reorder the terms: -6 + -750 + -1x + x2 = 750 + -750 Combine like terms: -6 + -750 = -756 -756 + -1x + x2 = 750 + -750 Combine like terms: 750 + -750 = 0 -756 + -1x + x2 = 0 Factor a trinomial. (-27 + -1x)(28 + -1x) = 0Subproblem 1
Set the factor '(-27 + -1x)' equal to zero and attempt to solve: Simplifying -27 + -1x = 0 Solving -27 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -1x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -1x = 0 + 27 -1x = 0 + 27 Combine like terms: 0 + 27 = 27 -1x = 27 Divide each side by '-1'. x = -27 Simplifying x = -27Subproblem 2
Set the factor '(28 + -1x)' equal to zero and attempt to solve: Simplifying 28 + -1x = 0 Solving 28 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -1x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -1x = 0 + -28 -1x = 0 + -28 Combine like terms: 0 + -28 = -28 -1x = -28 Divide each side by '-1'. x = 28 Simplifying x = 28Solution
x = {-27, 28}
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