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Simplifying x(x + 10) + -6(x + 10) = 0 Reorder the terms: x(10 + x) + -6(x + 10) = 0 (10 * x + x * x) + -6(x + 10) = 0 (10x + x2) + -6(x + 10) = 0 Reorder the terms: 10x + x2 + -6(10 + x) = 0 10x + x2 + (10 * -6 + x * -6) = 0 10x + x2 + (-60 + -6x) = 0 Reorder the terms: -60 + 10x + -6x + x2 = 0 Combine like terms: 10x + -6x = 4x -60 + 4x + x2 = 0 Solving -60 + 4x + x2 = 0 Solving for variable 'x'. 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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