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Simplifying x = -2x + 7x2 Solving x = -2x + 7x2 Solving for variable 'x'. Combine like terms: x + 2x = 3x 3x + -7x2 = -2x + 7x2 + 2x + -7x2 Reorder the terms: 3x + -7x2 = -2x + 2x + 7x2 + -7x2 Combine like terms: -2x + 2x = 0 3x + -7x2 = 0 + 7x2 + -7x2 3x + -7x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 3x + -7x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(3 + -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 '(3 + -7x)' equal to zero and attempt to solve: Simplifying 3 + -7x = 0 Solving 3 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = 0 + -3 -7x = 0 + -3 Combine like terms: 0 + -3 = -3 -7x = -3 Divide each side by '-7'. x = 0.4285714286 Simplifying x = 0.4285714286Solution
x = {0, 0.4285714286}
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