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Simplifying 3x(x + -5) = 7x2 + -5x Reorder the terms: 3x(-5 + x) = 7x2 + -5x (-5 * 3x + x * 3x) = 7x2 + -5x (-15x + 3x2) = 7x2 + -5x Reorder the terms: -15x + 3x2 = -5x + 7x2 Solving -15x + 3x2 = -5x + 7x2 Solving for variable 'x'. Reorder the terms: -15x + 5x + 3x2 + -7x2 = -5x + 7x2 + 5x + -7x2 Combine like terms: -15x + 5x = -10x -10x + 3x2 + -7x2 = -5x + 7x2 + 5x + -7x2 Combine like terms: 3x2 + -7x2 = -4x2 -10x + -4x2 = -5x + 7x2 + 5x + -7x2 Reorder the terms: -10x + -4x2 = -5x + 5x + 7x2 + -7x2 Combine like terms: -5x + 5x = 0 -10x + -4x2 = 0 + 7x2 + -7x2 -10x + -4x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -10x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '-2x'. -2x(5 + 2x) = 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 '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5Solution
x = {0, -2.5}
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