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Simplifying 5 + x(x + -3) = 45 Reorder the terms: 5 + x(-3 + x) = 45 5 + (-3 * x + x * x) = 45 5 + (-3x + x2) = 45 Solving 5 + -3x + x2 = 45 Solving for variable 'x'. Reorder the terms: 5 + -45 + -3x + x2 = 45 + -45 Combine like terms: 5 + -45 = -40 -40 + -3x + x2 = 45 + -45 Combine like terms: 45 + -45 = 0 -40 + -3x + x2 = 0 Factor a trinomial. (-5 + -1x)(8 + -1x) = 0Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-5, 8}
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