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Simplifying 45x3 = -14x2 + -1x Reorder the terms: 45x3 = -1x + -14x2 Solving 45x3 = -1x + -14x2 Solving for variable 'x'. Reorder the terms: x + 14x2 + 45x3 = -1x + -14x2 + x + 14x2 Reorder the terms: x + 14x2 + 45x3 = -1x + x + -14x2 + 14x2 Combine like terms: -1x + x = 0 x + 14x2 + 45x3 = 0 + -14x2 + 14x2 x + 14x2 + 45x3 = -14x2 + 14x2 Combine like terms: -14x2 + 14x2 = 0 x + 14x2 + 45x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(1 + 14x + 45x2) = 0 Factor a trinomial. x((1 + 5x)(1 + 9x)) = 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 + 5x)' equal to zero and attempt to solve: Simplifying 1 + 5x = 0 Solving 1 + 5x = 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 + 5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 0 + -1 5x = 0 + -1 Combine like terms: 0 + -1 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2Subproblem 3
Set the factor '(1 + 9x)' equal to zero and attempt to solve: Simplifying 1 + 9x = 0 Solving 1 + 9x = 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 + 9x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 9x = 0 + -1 9x = 0 + -1 Combine like terms: 0 + -1 = -1 9x = -1 Divide each side by '9'. x = -0.1111111111 Simplifying x = -0.1111111111Solution
x = {0, -0.2, -0.1111111111}
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