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Simplifying 6x + 30 + 4x = 10x(x + 3) Reorder the terms: 30 + 6x + 4x = 10x(x + 3) Combine like terms: 6x + 4x = 10x 30 + 10x = 10x(x + 3) Reorder the terms: 30 + 10x = 10x(3 + x) 30 + 10x = (3 * 10x + x * 10x) 30 + 10x = (30x + 10x2) Solving 30 + 10x = 30x + 10x2 Solving for variable 'x'. Combine like terms: 10x + -30x = -20x 30 + -20x + -10x2 = 30x + 10x2 + -30x + -10x2 Reorder the terms: 30 + -20x + -10x2 = 30x + -30x + 10x2 + -10x2 Combine like terms: 30x + -30x = 0 30 + -20x + -10x2 = 0 + 10x2 + -10x2 30 + -20x + -10x2 = 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 30 + -20x + -10x2 = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(3 + -2x + -1x2) = 0 Factor a trinomial. 10((1 + -1x)(3 + x)) = 0 Ignore the factor 10.Subproblem 1
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 = 1Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {1, -3}
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