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Simplifying 5x2 = 2x2 + -7x Reorder the terms: 5x2 = -7x + 2x2 Solving 5x2 = -7x + 2x2 Solving for variable 'x'. Reorder the terms: 7x + 5x2 + -2x2 = -7x + 2x2 + 7x + -2x2 Combine like terms: 5x2 + -2x2 = 3x2 7x + 3x2 = -7x + 2x2 + 7x + -2x2 Reorder the terms: 7x + 3x2 = -7x + 7x + 2x2 + -2x2 Combine like terms: -7x + 7x = 0 7x + 3x2 = 0 + 2x2 + -2x2 7x + 3x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 7x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(7 + 3x) = 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 '(7 + 3x)' equal to zero and attempt to solve: Simplifying 7 + 3x = 0 Solving 7 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 0 + -7 3x = 0 + -7 Combine like terms: 0 + -7 = -7 3x = -7 Divide each side by '3'. x = -2.333333333 Simplifying x = -2.333333333Solution
x = {0, -2.333333333}
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