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Simplifying (14x2 + -5x + 6)(9x2 + -1x) = 0 Reorder the terms: (6 + -5x + 14x2)(9x2 + -1x) = 0 Reorder the terms: (6 + -5x + 14x2)(-1x + 9x2) = 0 Multiply (6 + -5x + 14x2) * (-1x + 9x2) (6(-1x + 9x2) + -5x * (-1x + 9x2) + 14x2 * (-1x + 9x2)) = 0 ((-1x * 6 + 9x2 * 6) + -5x * (-1x + 9x2) + 14x2 * (-1x + 9x2)) = 0 ((-6x + 54x2) + -5x * (-1x + 9x2) + 14x2 * (-1x + 9x2)) = 0 (-6x + 54x2 + (-1x * -5x + 9x2 * -5x) + 14x2 * (-1x + 9x2)) = 0 (-6x + 54x2 + (5x2 + -45x3) + 14x2 * (-1x + 9x2)) = 0 (-6x + 54x2 + 5x2 + -45x3 + (-1x * 14x2 + 9x2 * 14x2)) = 0 (-6x + 54x2 + 5x2 + -45x3 + (-14x3 + 126x4)) = 0 Combine like terms: 54x2 + 5x2 = 59x2 (-6x + 59x2 + -45x3 + -14x3 + 126x4) = 0 Combine like terms: -45x3 + -14x3 = -59x3 (-6x + 59x2 + -59x3 + 126x4) = 0 Solving -6x + 59x2 + -59x3 + 126x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-6 + 59x + -59x2 + 126x3) = 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 '(-6 + 59x + -59x2 + 126x3)' equal to zero and attempt to solve: Simplifying -6 + 59x + -59x2 + 126x3 = 0 Solving -6 + 59x + -59x2 + 126x3 = 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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