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Simplifying -33 + 5x + x2 = 9 + 4x Solving -33 + 5x + x2 = 9 + 4x Solving for variable 'x'. Reorder the terms: -33 + -9 + 5x + -4x + x2 = 9 + 4x + -9 + -4x Combine like terms: -33 + -9 = -42 -42 + 5x + -4x + x2 = 9 + 4x + -9 + -4x Combine like terms: 5x + -4x = 1x -42 + 1x + x2 = 9 + 4x + -9 + -4x Reorder the terms: -42 + 1x + x2 = 9 + -9 + 4x + -4x Combine like terms: 9 + -9 = 0 -42 + 1x + x2 = 0 + 4x + -4x -42 + 1x + x2 = 4x + -4x Combine like terms: 4x + -4x = 0 -42 + 1x + x2 = 0 Factor a trinomial. (-7 + -1x)(6 + -1x) = 0Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-7, 6}
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