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Simplifying 7x2 + 4x = 2x Reorder the terms: 4x + 7x2 = 2x Solving 4x + 7x2 = 2x Solving for variable 'x'. Reorder the terms: 4x + -2x + 7x2 = 2x + -2x Combine like terms: 4x + -2x = 2x 2x + 7x2 = 2x + -2x Combine like terms: 2x + -2x = 0 2x + 7x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(2 + 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 '(2 + 7x)' equal to zero and attempt to solve: Simplifying 2 + 7x = 0 Solving 2 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 0 + -2 7x = 0 + -2 Combine like terms: 0 + -2 = -2 7x = -2 Divide each side by '7'. x = -0.2857142857 Simplifying x = -0.2857142857Solution
x = {0, -0.2857142857}
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