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Simplifying (45x2)(3x + 12x2) = 0 Remove parenthesis around (45x2) 45x2(3x + 12x2) = 0 (3x * 45x2 + 12x2 * 45x2) = 0 (135x3 + 540x4) = 0 Solving 135x3 + 540x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '135x3'. 135x3(1 + 4x) = 0 Ignore the factor 135.Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + 4x)' equal to zero and attempt to solve: Simplifying 1 + 4x = 0 Solving 1 + 4x = 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 + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 0 + -1 4x = 0 + -1 Combine like terms: 0 + -1 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25Solution
x = {-0.25}
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