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Simplifying (7x2)(2x5 + 5)(x2 + -4x + -9) = 0 Remove parenthesis around (7x2) 7x2(2x5 + 5)(x2 + -4x + -9) = 0 Reorder the terms: 7x2(5 + 2x5)(x2 + -4x + -9) = 0 Reorder the terms: 7x2(5 + 2x5)(-9 + -4x + x2) = 0 Multiply (5 + 2x5) * (-9 + -4x + x2) 7x2(5(-9 + -4x + x2) + 2x5 * (-9 + -4x + x2)) = 0 7x2((-9 * 5 + -4x * 5 + x2 * 5) + 2x5 * (-9 + -4x + x2)) = 0 7x2((-45 + -20x + 5x2) + 2x5 * (-9 + -4x + x2)) = 0 7x2(-45 + -20x + 5x2 + (-9 * 2x5 + -4x * 2x5 + x2 * 2x5)) = 0 7x2(-45 + -20x + 5x2 + (-18x5 + -8x6 + 2x7)) = 0 7x2(-45 + -20x + 5x2 + -18x5 + -8x6 + 2x7) = 0 (-45 * 7x2 + -20x * 7x2 + 5x2 * 7x2 + -18x5 * 7x2 + -8x6 * 7x2 + 2x7 * 7x2) = 0 (-315x2 + -140x3 + 35x4 + -126x7 + -56x8 + 14x9) = 0 Solving -315x2 + -140x3 + 35x4 + -126x7 + -56x8 + 14x9 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7x2'. 7x2(-45 + -20x + 5x2 + -18x5 + -8x6 + 2x7) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(-45 + -20x + 5x2 + -18x5 + -8x6 + 2x7)' equal to zero and attempt to solve: Simplifying -45 + -20x + 5x2 + -18x5 + -8x6 + 2x7 = 0 Solving -45 + -20x + 5x2 + -18x5 + -8x6 + 2x7 = 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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