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Simplifying 3x + -2x = 7x(x + -5) + 3x Combine like terms: 3x + -2x = 1x 1x = 7x(x + -5) + 3x Reorder the terms: 1x = 7x(-5 + x) + 3x 1x = (-5 * 7x + x * 7x) + 3x 1x = (-35x + 7x2) + 3x Reorder the terms: 1x = -35x + 3x + 7x2 Combine like terms: -35x + 3x = -32x 1x = -32x + 7x2 Solving 1x = -32x + 7x2 Solving for variable 'x'. Combine like terms: 1x + 32x = 33x 33x + -7x2 = -32x + 7x2 + 32x + -7x2 Reorder the terms: 33x + -7x2 = -32x + 32x + 7x2 + -7x2 Combine like terms: -32x + 32x = 0 33x + -7x2 = 0 + 7x2 + -7x2 33x + -7x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 33x + -7x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(33 + -7x) = 0Subproblem 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 '(33 + -7x)' equal to zero and attempt to solve: Simplifying 33 + -7x = 0 Solving 33 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -7x = 0 + -33 Combine like terms: 33 + -33 = 0 0 + -7x = 0 + -33 -7x = 0 + -33 Combine like terms: 0 + -33 = -33 -7x = -33 Divide each side by '-7'. x = 4.714285714 Simplifying x = 4.714285714Solution
x = {0, 4.714285714}
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