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Simplifying x(x + -3) + -10(x + -3) = 0 Reorder the terms: x(-3 + x) + -10(x + -3) = 0 (-3 * x + x * x) + -10(x + -3) = 0 (-3x + x2) + -10(x + -3) = 0 Reorder the terms: -3x + x2 + -10(-3 + x) = 0 -3x + x2 + (-3 * -10 + x * -10) = 0 -3x + x2 + (30 + -10x) = 0 Reorder the terms: 30 + -3x + -10x + x2 = 0 Combine like terms: -3x + -10x = -13x 30 + -13x + x2 = 0 Solving 30 + -13x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -1x)(10 + -1x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
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 = 10Solution
x = {3, 10}
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