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Simplifying 1000000000(x + 6)(x + -1) = 0 Reorder the terms: 1000000000(6 + x)(x + -1) = 0 Reorder the terms: 1000000000(6 + x)(-1 + x) = 0 Multiply (6 + x) * (-1 + x) 1000000000(6(-1 + x) + x(-1 + x)) = 0 1000000000((-1 * 6 + x * 6) + x(-1 + x)) = 0 1000000000((-6 + 6x) + x(-1 + x)) = 0 1000000000(-6 + 6x + (-1 * x + x * x)) = 0 1000000000(-6 + 6x + (-1x + x2)) = 0 Combine like terms: 6x + -1x = 5x 1000000000(-6 + 5x + x2) = 0 (-6 * 1000000000 + 5x * 1000000000 + x2 * 1000000000) = 0 (-6000000000 + 5000000000x + 1000000000x2) = 0 Solving -6000000000 + 5000000000x + 1000000000x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '1000000000'. 1000000000(-6 + 5x + x2) = 0 Factor a trinomial. 1000000000((-6 + -1x)(1 + -1x)) = 0 Ignore the factor 1000000000.Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-6, 1}
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