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Simplifying (7 + 5) * 5 = (4 + x) * x Combine like terms: 7 + 5 = 12 (12) * 5 = (4 + x) * x Multiply 12 * 5 60 = (4 + x) * x Reorder the terms for easier multiplication: 60 = x(4 + x) 60 = (4 * x + x * x) 60 = (4x + x2) Solving 60 = 4x + x2 Solving for variable 'x'. Reorder the terms: 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. (6 + -1x)(10 + x) = 0Subproblem 1
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 = 6Subproblem 2
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 = -10Solution
x = {6, -10}
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