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Simplifying -7x[x(2x + -5) + -12](9x2 + 30x + 25) = 0 Reorder the terms: -7x[x(-5 + 2x) + -12](9x2 + 30x + 25) = 0 -7x[(-5 * x + 2x * x) + -12](9x2 + 30x + 25) = 0 -7x[(-5x + 2x2) + -12](9x2 + 30x + 25) = 0 Reorder the terms: -7x[-12 + -5x + 2x2](9x2 + 30x + 25) = 0 Reorder the terms: -7x[-12 + -5x + 2x2](25 + 30x + 9x2) = 0 Multiply [-12 + -5x + 2x2] * (25 + 30x + 9x2) -7x[-12(25 + 30x + 9x2) + -5x * (25 + 30x + 9x2) + 2x2 * (25 + 30x + 9x2)] = 0 -7x[(25 * -12 + 30x * -12 + 9x2 * -12) + -5x * (25 + 30x + 9x2) + 2x2 * (25 + 30x + 9x2)] = 0 -7x[(-300 + -360x + -108x2) + -5x * (25 + 30x + 9x2) + 2x2 * (25 + 30x + 9x2)] = 0 -7x[-300 + -360x + -108x2 + (25 * -5x + 30x * -5x + 9x2 * -5x) + 2x2 * (25 + 30x + 9x2)] = 0 -7x[-300 + -360x + -108x2 + (-125x + -150x2 + -45x3) + 2x2 * (25 + 30x + 9x2)] = 0 -7x[-300 + -360x + -108x2 + -125x + -150x2 + -45x3 + (25 * 2x2 + 30x * 2x2 + 9x2 * 2x2)] = 0 -7x[-300 + -360x + -108x2 + -125x + -150x2 + -45x3 + (50x2 + 60x3 + 18x4)] = 0 Reorder the terms: -7x[-300 + -360x + -125x + -108x2 + -150x2 + 50x2 + -45x3 + 60x3 + 18x4] = 0 Combine like terms: -360x + -125x = -485x -7x[-300 + -485x + -108x2 + -150x2 + 50x2 + -45x3 + 60x3 + 18x4] = 0 Combine like terms: -108x2 + -150x2 = -258x2 -7x[-300 + -485x + -258x2 + 50x2 + -45x3 + 60x3 + 18x4] = 0 Combine like terms: -258x2 + 50x2 = -208x2 -7x[-300 + -485x + -208x2 + -45x3 + 60x3 + 18x4] = 0 Combine like terms: -45x3 + 60x3 = 15x3 -7x[-300 + -485x + -208x2 + 15x3 + 18x4] = 0 [-300 * -7x + -485x * -7x + -208x2 * -7x + 15x3 * -7x + 18x4 * -7x] = 0 [2100x + 3395x2 + 1456x3 + -105x4 + -126x5] = 0 Solving 2100x + 3395x2 + 1456x3 + -105x4 + -126x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7x'. 7x(300 + 485x + 208x2 + -15x3 + -18x4) = 0 Ignore the factor 7.Subproblem 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 '(300 + 485x + 208x2 + -15x3 + -18x4)' equal to zero and attempt to solve: Simplifying 300 + 485x + 208x2 + -15x3 + -18x4 = 0 Solving 300 + 485x + 208x2 + -15x3 + -18x4 = 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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