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