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Simplifying 0 = 60 + -7x + -1(x)(x) Multiply x * x 0 = 60 + -7x + -1x2 Solving 0 = 60 + -7x + -1x2 Solving for variable 'x'. Combine like terms: 0 + -60 = -60 -60 + 7x + x2 = 60 + -7x + -1x2 + -60 + 7x + x2 Reorder the terms: -60 + 7x + x2 = 60 + -60 + -7x + 7x + -1x2 + x2 Combine like terms: 60 + -60 = 0 -60 + 7x + x2 = 0 + -7x + 7x + -1x2 + x2 -60 + 7x + x2 = -7x + 7x + -1x2 + x2 Combine like terms: -7x + 7x = 0 -60 + 7x + x2 = 0 + -1x2 + x2 -60 + 7x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -60 + 7x + x2 = 0 Factor a trinomial. (-12 + -1x)(5 + -1x) = 0Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve: Simplifying -12 + -1x = 0 Solving -12 + -1x = 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 + -1x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 0 + 12 -1x = 0 + 12 Combine like terms: 0 + 12 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12Subproblem 2
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 = 5Solution
x = {-12, 5}
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