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Simplifying 5x(x + -7) = 2x(3x + 3) Reorder the terms: 5x(-7 + x) = 2x(3x + 3) (-7 * 5x + x * 5x) = 2x(3x + 3) (-35x + 5x2) = 2x(3x + 3) Reorder the terms: -35x + 5x2 = 2x(3 + 3x) -35x + 5x2 = (3 * 2x + 3x * 2x) -35x + 5x2 = (6x + 6x2) Solving -35x + 5x2 = 6x + 6x2 Solving for variable 'x'. Reorder the terms: -35x + -6x + 5x2 + -6x2 = 6x + 6x2 + -6x + -6x2 Combine like terms: -35x + -6x = -41x -41x + 5x2 + -6x2 = 6x + 6x2 + -6x + -6x2 Combine like terms: 5x2 + -6x2 = -1x2 -41x + -1x2 = 6x + 6x2 + -6x + -6x2 Reorder the terms: -41x + -1x2 = 6x + -6x + 6x2 + -6x2 Combine like terms: 6x + -6x = 0 -41x + -1x2 = 0 + 6x2 + -6x2 -41x + -1x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -41x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(41 + x) = 0 Ignore the factor -1.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 '(41 + x)' equal to zero and attempt to solve: Simplifying 41 + x = 0 Solving 41 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + x = 0 + -41 Combine like terms: 41 + -41 = 0 0 + x = 0 + -41 x = 0 + -41 Combine like terms: 0 + -41 = -41 x = -41 Simplifying x = -41Solution
x = {0, -41}
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