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Simplifying (x + -10)(x + -4) = 0 Reorder the terms: (-10 + x)(x + -4) = 0 Reorder the terms: (-10 + x)(-4 + x) = 0 Multiply (-10 + x) * (-4 + x) (-10(-4 + x) + x(-4 + x)) = 0 ((-4 * -10 + x * -10) + x(-4 + x)) = 0 ((40 + -10x) + x(-4 + x)) = 0 (40 + -10x + (-4 * x + x * x)) = 0 (40 + -10x + (-4x + x2)) = 0 Combine like terms: -10x + -4x = -14x (40 + -14x + x2) = 0 Solving 40 + -14x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + -1x)(10 + -1x) = 0Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 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 = {4, 10}
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