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Simplifying (5x2 + 7x)(25x2 + -15x + -4) = 0 Reorder the terms: (7x + 5x2)(25x2 + -15x + -4) = 0 Reorder the terms: (7x + 5x2)(-4 + -15x + 25x2) = 0 Multiply (7x + 5x2) * (-4 + -15x + 25x2) (7x * (-4 + -15x + 25x2) + 5x2 * (-4 + -15x + 25x2)) = 0 ((-4 * 7x + -15x * 7x + 25x2 * 7x) + 5x2 * (-4 + -15x + 25x2)) = 0 ((-28x + -105x2 + 175x3) + 5x2 * (-4 + -15x + 25x2)) = 0 (-28x + -105x2 + 175x3 + (-4 * 5x2 + -15x * 5x2 + 25x2 * 5x2)) = 0 (-28x + -105x2 + 175x3 + (-20x2 + -75x3 + 125x4)) = 0 Reorder the terms: (-28x + -105x2 + -20x2 + 175x3 + -75x3 + 125x4) = 0 Combine like terms: -105x2 + -20x2 = -125x2 (-28x + -125x2 + 175x3 + -75x3 + 125x4) = 0 Combine like terms: 175x3 + -75x3 = 100x3 (-28x + -125x2 + 100x3 + 125x4) = 0 Solving -28x + -125x2 + 100x3 + 125x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-28 + -125x + 100x2 + 125x3) = 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 '(-28 + -125x + 100x2 + 125x3)' equal to zero and attempt to solve: Simplifying -28 + -125x + 100x2 + 125x3 = 0 Solving -28 + -125x + 100x2 + 125x3 = 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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