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Simplifying 9x2 + -45x = 3x2 + -46x Reorder the terms: -45x + 9x2 = 3x2 + -46x Reorder the terms: -45x + 9x2 = -46x + 3x2 Solving -45x + 9x2 = -46x + 3x2 Solving for variable 'x'. Reorder the terms: -45x + 46x + 9x2 + -3x2 = -46x + 3x2 + 46x + -3x2 Combine like terms: -45x + 46x = 1x 1x + 9x2 + -3x2 = -46x + 3x2 + 46x + -3x2 Combine like terms: 9x2 + -3x2 = 6x2 1x + 6x2 = -46x + 3x2 + 46x + -3x2 Reorder the terms: 1x + 6x2 = -46x + 46x + 3x2 + -3x2 Combine like terms: -46x + 46x = 0 1x + 6x2 = 0 + 3x2 + -3x2 1x + 6x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 1x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(1 + 6x) = 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 '(1 + 6x)' equal to zero and attempt to solve: Simplifying 1 + 6x = 0 Solving 1 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 0 + -1 6x = 0 + -1 Combine like terms: 0 + -1 = -1 6x = -1 Divide each side by '6'. x = -0.1666666667 Simplifying x = -0.1666666667Solution
x = {0, -0.1666666667}
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