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Simplifying 3x = 7x2 + -11x Reorder the terms: 3x = -11x + 7x2 Solving 3x = -11x + 7x2 Solving for variable 'x'. Combine like terms: 3x + 11x = 14x 14x + -7x2 = -11x + 7x2 + 11x + -7x2 Reorder the terms: 14x + -7x2 = -11x + 11x + 7x2 + -7x2 Combine like terms: -11x + 11x = 0 14x + -7x2 = 0 + 7x2 + -7x2 14x + -7x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 14x + -7x2 = 0 Factor out the Greatest Common Factor (GCF), '7x'. 7x(2 + -1x) = 0 Ignore the factor 7.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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {0, 2}
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