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Simplifying x(x + 4) + -10(x + 4) = 0 Reorder the terms: x(4 + x) + -10(x + 4) = 0 (4 * x + x * x) + -10(x + 4) = 0 (4x + x2) + -10(x + 4) = 0 Reorder the terms: 4x + x2 + -10(4 + x) = 0 4x + x2 + (4 * -10 + x * -10) = 0 4x + x2 + (-40 + -10x) = 0 Reorder the terms: -40 + 4x + -10x + x2 = 0 Combine like terms: 4x + -10x = -6x -40 + -6x + x2 = 0 Solving -40 + -6x + 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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