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Simplifying 25(2x + -1) = 5(x + 4) * 3X Reorder the terms: 25(-1 + 2x) = 5(x + 4) * 3X (-1 * 25 + 2x * 25) = 5(x + 4) * 3X (-25 + 50x) = 5(x + 4) * 3X Reorder the terms: -25 + 50x = 5(4 + x) * 3X Reorder the terms for easier multiplication: -25 + 50x = 5 * 3X(4 + x) Multiply 5 * 3 -25 + 50x = 15X(4 + x) -25 + 50x = (4 * 15X + x * 15X) -25 + 50x = (60X + 15xX) Solving -25 + 50x = 60X + 15xX Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15xX' to each side of the equation. -25 + 50x + -15xX = 60X + 15xX + -15xX Combine like terms: 15xX + -15xX = 0 -25 + 50x + -15xX = 60X + 0 -25 + 50x + -15xX = 60X Add '25' to each side of the equation. -25 + 50x + 25 + -15xX = 25 + 60X Reorder the terms: -25 + 25 + 50x + -15xX = 25 + 60X Combine like terms: -25 + 25 = 0 0 + 50x + -15xX = 25 + 60X 50x + -15xX = 25 + 60X Reorder the terms: -25 + -60X + 50x + -15xX = 25 + 60X + -25 + -60X Reorder the terms: -25 + -60X + 50x + -15xX = 25 + -25 + 60X + -60X Combine like terms: 25 + -25 = 0 -25 + -60X + 50x + -15xX = 0 + 60X + -60X -25 + -60X + 50x + -15xX = 60X + -60X Combine like terms: 60X + -60X = 0 -25 + -60X + 50x + -15xX = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-5 + -12X + 10x + -3xX) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-5 + -12X + 10x + -3xX)' equal to zero and attempt to solve: Simplifying -5 + -12X + 10x + -3xX = 0 Solving -5 + -12X + 10x + -3xX = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -12X + 10x + 5 + -3xX = 0 + 5 Reorder the terms: -5 + 5 + -12X + 10x + -3xX = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -12X + 10x + -3xX = 0 + 5 -12X + 10x + -3xX = 0 + 5 Combine like terms: 0 + 5 = 5 -12X + 10x + -3xX = 5 Add '12X' to each side of the equation. -12X + 10x + 12X + -3xX = 5 + 12X Reorder the terms: -12X + 12X + 10x + -3xX = 5 + 12X Combine like terms: -12X + 12X = 0 0 + 10x + -3xX = 5 + 12X 10x + -3xX = 5 + 12X The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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