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Simplifying x(x + 4) + -7(x + 4) = 0 Reorder the terms: x(4 + x) + -7(x + 4) = 0 (4 * x + x * x) + -7(x + 4) = 0 (4x + x2) + -7(x + 4) = 0 Reorder the terms: 4x + x2 + -7(4 + x) = 0 4x + x2 + (4 * -7 + x * -7) = 0 4x + x2 + (-28 + -7x) = 0 Reorder the terms: -28 + 4x + -7x + x2 = 0 Combine like terms: 4x + -7x = -3x -28 + -3x + x2 = 0 Solving -28 + -3x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -1x)(7 + -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 '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {-4, 7}
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