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Simplifying (x + -7)(x + -4) = 0 Reorder the terms: (-7 + x)(x + -4) = 0 Reorder the terms: (-7 + x)(-4 + x) = 0 Multiply (-7 + x) * (-4 + x) (-7(-4 + x) + x(-4 + x)) = 0 ((-4 * -7 + x * -7) + x(-4 + x)) = 0 ((28 + -7x) + x(-4 + x)) = 0 (28 + -7x + (-4 * x + x * x)) = 0 (28 + -7x + (-4x + x2)) = 0 Combine like terms: -7x + -4x = -11x (28 + -11x + x2) = 0 Solving 28 + -11x + 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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