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Simplifying x2 + 20x + 60 = 4x Reorder the terms: 60 + 20x + x2 = 4x Solving 60 + 20x + x2 = 4x Solving for variable 'x'. Reorder the terms: 60 + 20x + -4x + x2 = 4x + -4x Combine like terms: 20x + -4x = 16x 60 + 16x + x2 = 4x + -4x Combine like terms: 4x + -4x = 0 60 + 16x + x2 = 0 Factor a trinomial. (10 + x)(6 + x) = 0Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 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 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 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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