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Simplifying 2x(5x + -3) + -1(2x + -4) = 5 + -1(6x + 1) Reorder the terms: 2x(-3 + 5x) + -1(2x + -4) = 5 + -1(6x + 1) (-3 * 2x + 5x * 2x) + -1(2x + -4) = 5 + -1(6x + 1) (-6x + 10x2) + -1(2x + -4) = 5 + -1(6x + 1) Reorder the terms: -6x + 10x2 + -1(-4 + 2x) = 5 + -1(6x + 1) -6x + 10x2 + (-4 * -1 + 2x * -1) = 5 + -1(6x + 1) -6x + 10x2 + (4 + -2x) = 5 + -1(6x + 1) Reorder the terms: 4 + -6x + -2x + 10x2 = 5 + -1(6x + 1) Combine like terms: -6x + -2x = -8x 4 + -8x + 10x2 = 5 + -1(6x + 1) Reorder the terms: 4 + -8x + 10x2 = 5 + -1(1 + 6x) 4 + -8x + 10x2 = 5 + (1 * -1 + 6x * -1) 4 + -8x + 10x2 = 5 + (-1 + -6x) Combine like terms: 5 + -1 = 4 4 + -8x + 10x2 = 4 + -6x Add '-4' to each side of the equation. 4 + -8x + -4 + 10x2 = 4 + -4 + -6x Reorder the terms: 4 + -4 + -8x + 10x2 = 4 + -4 + -6x Combine like terms: 4 + -4 = 0 0 + -8x + 10x2 = 4 + -4 + -6x -8x + 10x2 = 4 + -4 + -6x Combine like terms: 4 + -4 = 0 -8x + 10x2 = 0 + -6x -8x + 10x2 = -6x Solving -8x + 10x2 = -6x Solving for variable 'x'. Reorder the terms: -8x + 6x + 10x2 = -6x + 6x Combine like terms: -8x + 6x = -2x -2x + 10x2 = -6x + 6x Combine like terms: -6x + 6x = 0 -2x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-1 + 5x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-1 + 5x)' equal to zero and attempt to solve: Simplifying -1 + 5x = 0 Solving -1 + 5x = 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 + 5x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5x = 0 + 1 5x = 0 + 1 Combine like terms: 0 + 1 = 1 5x = 1 Divide each side by '5'. x = 0.2 Simplifying x = 0.2Solution
x = {0, 0.2}
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