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Simplifying -84 = (x * x) + -19x Multiply x * x -84 = (x2) + -19x -84 = x2 + -19x Reorder the terms: -84 = -19x + x2 Solving -84 = -19x + x2 Solving for variable 'x'. Reorder the terms: -84 + 19x + -1x2 = -19x + 19x + x2 + -1x2 Combine like terms: -19x + 19x = 0 -84 + 19x + -1x2 = 0 + x2 + -1x2 -84 + 19x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -84 + 19x + -1x2 = 0 Factor a trinomial. (-12 + x)(7 + -1x) = 0Subproblem 1
Set the factor '(-12 + x)' equal to zero and attempt to solve: Simplifying -12 + x = 0 Solving -12 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + x = 0 + 12 x = 0 + 12 Combine like terms: 0 + 12 = 12 x = 12 Simplifying x = 12Subproblem 2
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 = 7Solution
x = {12, 7}
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