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Simplifying 3x + -5x(x + -6) = 2(10 + -1x) + 10 Reorder the terms: 3x + -5x(-6 + x) = 2(10 + -1x) + 10 3x + (-6 * -5x + x * -5x) = 2(10 + -1x) + 10 3x + (30x + -5x2) = 2(10 + -1x) + 10 Combine like terms: 3x + 30x = 33x 33x + -5x2 = 2(10 + -1x) + 10 33x + -5x2 = (10 * 2 + -1x * 2) + 10 33x + -5x2 = (20 + -2x) + 10 Reorder the terms: 33x + -5x2 = 20 + 10 + -2x Combine like terms: 20 + 10 = 30 33x + -5x2 = 30 + -2x Solving 33x + -5x2 = 30 + -2x Solving for variable 'x'. Reorder the terms: -30 + 33x + 2x + -5x2 = 30 + -2x + -30 + 2x Combine like terms: 33x + 2x = 35x -30 + 35x + -5x2 = 30 + -2x + -30 + 2x Reorder the terms: -30 + 35x + -5x2 = 30 + -30 + -2x + 2x Combine like terms: 30 + -30 = 0 -30 + 35x + -5x2 = 0 + -2x + 2x -30 + 35x + -5x2 = -2x + 2x Combine like terms: -2x + 2x = 0 -30 + 35x + -5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-6 + 7x + -1x2) = 0 Factor a trinomial. 5((-6 + x)(1 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 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 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 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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