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Simplifying (5x2 + 6x)(15x2 + -7x + -2) = 0 Reorder the terms: (6x + 5x2)(15x2 + -7x + -2) = 0 Reorder the terms: (6x + 5x2)(-2 + -7x + 15x2) = 0 Multiply (6x + 5x2) * (-2 + -7x + 15x2) (6x * (-2 + -7x + 15x2) + 5x2 * (-2 + -7x + 15x2)) = 0 ((-2 * 6x + -7x * 6x + 15x2 * 6x) + 5x2 * (-2 + -7x + 15x2)) = 0 ((-12x + -42x2 + 90x3) + 5x2 * (-2 + -7x + 15x2)) = 0 (-12x + -42x2 + 90x3 + (-2 * 5x2 + -7x * 5x2 + 15x2 * 5x2)) = 0 (-12x + -42x2 + 90x3 + (-10x2 + -35x3 + 75x4)) = 0 Reorder the terms: (-12x + -42x2 + -10x2 + 90x3 + -35x3 + 75x4) = 0 Combine like terms: -42x2 + -10x2 = -52x2 (-12x + -52x2 + 90x3 + -35x3 + 75x4) = 0 Combine like terms: 90x3 + -35x3 = 55x3 (-12x + -52x2 + 55x3 + 75x4) = 0 Solving -12x + -52x2 + 55x3 + 75x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-12 + -52x + 55x2 + 75x3) = 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 + -52x + 55x2 + 75x3)' equal to zero and attempt to solve: Simplifying -12 + -52x + 55x2 + 75x3 = 0 Solving -12 + -52x + 55x2 + 75x3 = 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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