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Simplifying (5x2 + 6x)(12x2 + -5x + -2) = 0 Reorder the terms: (6x + 5x2)(12x2 + -5x + -2) = 0 Reorder the terms: (6x + 5x2)(-2 + -5x + 12x2) = 0 Multiply (6x + 5x2) * (-2 + -5x + 12x2) (6x * (-2 + -5x + 12x2) + 5x2 * (-2 + -5x + 12x2)) = 0 ((-2 * 6x + -5x * 6x + 12x2 * 6x) + 5x2 * (-2 + -5x + 12x2)) = 0 ((-12x + -30x2 + 72x3) + 5x2 * (-2 + -5x + 12x2)) = 0 (-12x + -30x2 + 72x3 + (-2 * 5x2 + -5x * 5x2 + 12x2 * 5x2)) = 0 (-12x + -30x2 + 72x3 + (-10x2 + -25x3 + 60x4)) = 0 Reorder the terms: (-12x + -30x2 + -10x2 + 72x3 + -25x3 + 60x4) = 0 Combine like terms: -30x2 + -10x2 = -40x2 (-12x + -40x2 + 72x3 + -25x3 + 60x4) = 0 Combine like terms: 72x3 + -25x3 = 47x3 (-12x + -40x2 + 47x3 + 60x4) = 0 Solving -12x + -40x2 + 47x3 + 60x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-12 + -40x + 47x2 + 60x3) = 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 '(-12 + -40x + 47x2 + 60x3)' equal to zero and attempt to solve: Simplifying -12 + -40x + 47x2 + 60x3 = 0 Solving -12 + -40x + 47x2 + 60x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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