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Simplifying 0 = x2 + -4x + -60 Reorder the terms: 0 = -60 + -4x + x2 Solving 0 = -60 + -4x + x2 Solving for variable 'x'. Combine like terms: 0 + 60 = 60 60 + 4x + -1x2 = -60 + -4x + x2 + 60 + 4x + -1x2 Reorder the terms: 60 + 4x + -1x2 = -60 + 60 + -4x + 4x + x2 + -1x2 Combine like terms: -60 + 60 = 0 60 + 4x + -1x2 = 0 + -4x + 4x + x2 + -1x2 60 + 4x + -1x2 = -4x + 4x + x2 + -1x2 Combine like terms: -4x + 4x = 0 60 + 4x + -1x2 = 0 + x2 + -1x2 60 + 4x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 60 + 4x + -1x2 = 0 Factor a trinomial. (10 + -1x)(6 + x) = 0Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 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 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Solution
x = {10, -6}
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