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Simplifying x2 + -9x = 4x + 48 Reorder the terms: -9x + x2 = 4x + 48 Reorder the terms: -9x + x2 = 48 + 4x Solving -9x + x2 = 48 + 4x Solving for variable 'x'. Reorder the terms: -48 + -9x + -4x + x2 = 48 + 4x + -48 + -4x Combine like terms: -9x + -4x = -13x -48 + -13x + x2 = 48 + 4x + -48 + -4x Reorder the terms: -48 + -13x + x2 = 48 + -48 + 4x + -4x Combine like terms: 48 + -48 = 0 -48 + -13x + x2 = 0 + 4x + -4x -48 + -13x + x2 = 4x + -4x Combine like terms: 4x + -4x = 0 -48 + -13x + x2 = 0 Factor a trinomial. (-3 + -1x)(16 + -1x) = 0Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 2
Set the factor '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16Solution
x = {-3, 16}
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