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Simplifying 5(x + -3)(x + 11) = 0 Reorder the terms: 5(-3 + x)(x + 11) = 0 Reorder the terms: 5(-3 + x)(11 + x) = 0 Multiply (-3 + x) * (11 + x) 5(-3(11 + x) + x(11 + x)) = 0 5((11 * -3 + x * -3) + x(11 + x)) = 0 5((-33 + -3x) + x(11 + x)) = 0 5(-33 + -3x + (11 * x + x * x)) = 0 5(-33 + -3x + (11x + x2)) = 0 Combine like terms: -3x + 11x = 8x 5(-33 + 8x + x2) = 0 (-33 * 5 + 8x * 5 + x2 * 5) = 0 (-165 + 40x + 5x2) = 0 Solving -165 + 40x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(-33 + 8x + x2) = 0 Factor a trinomial. 5((-11 + -1x)(3 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve: Simplifying -11 + -1x = 0 Solving -11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 0 + 11 -1x = 0 + 11 Combine like terms: 0 + 11 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-11, 3}
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