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Simplifying (x + 4)(x + -7) = 0 Reorder the terms: (4 + x)(x + -7) = 0 Reorder the terms: (4 + x)(-7 + x) = 0 Multiply (4 + x) * (-7 + x) (4(-7 + x) + x(-7 + x)) = 0 ((-7 * 4 + x * 4) + x(-7 + x)) = 0 ((-28 + 4x) + x(-7 + x)) = 0 (-28 + 4x + (-7 * x + x * x)) = 0 (-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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