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Simplifying x = 65x2 + -3x Reorder the terms: x = -3x + 65x2 Solving x = -3x + 65x2 Solving for variable 'x'. Combine like terms: x + 3x = 4x 4x + -65x2 = -3x + 65x2 + 3x + -65x2 Reorder the terms: 4x + -65x2 = -3x + 3x + 65x2 + -65x2 Combine like terms: -3x + 3x = 0 4x + -65x2 = 0 + 65x2 + -65x2 4x + -65x2 = 65x2 + -65x2 Combine like terms: 65x2 + -65x2 = 0 4x + -65x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(4 + -65x) = 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 '(4 + -65x)' equal to zero and attempt to solve: Simplifying 4 + -65x = 0 Solving 4 + -65x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -65x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -65x = 0 + -4 -65x = 0 + -4 Combine like terms: 0 + -4 = -4 -65x = -4 Divide each side by '-65'. x = 0.06153846154 Simplifying x = 0.06153846154Solution
x = {0, 0.06153846154}
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