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Simplifying (4 + x)(20 + -2x) = 0 Multiply (4 + x) * (20 + -2x) (4(20 + -2x) + x(20 + -2x)) = 0 ((20 * 4 + -2x * 4) + x(20 + -2x)) = 0 ((80 + -8x) + x(20 + -2x)) = 0 (80 + -8x + (20 * x + -2x * x)) = 0 (80 + -8x + (20x + -2x2)) = 0 Combine like terms: -8x + 20x = 12x (80 + 12x + -2x2) = 0 Solving 80 + 12x + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(40 + 6x + -1x2) = 0 Factor a trinomial. 2((10 + -1x)(4 + x)) = 0 Ignore the factor 2.Subproblem 1
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 = 10Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {10, -4}
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