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Simplifying (5x3 + -6x2 + 7x)(5x2 + 2x + 7) = 0 Reorder the terms: (7x + -6x2 + 5x3)(5x2 + 2x + 7) = 0 Reorder the terms: (7x + -6x2 + 5x3)(7 + 2x + 5x2) = 0 Multiply (7x + -6x2 + 5x3) * (7 + 2x + 5x2) (7x * (7 + 2x + 5x2) + -6x2 * (7 + 2x + 5x2) + 5x3 * (7 + 2x + 5x2)) = 0 ((7 * 7x + 2x * 7x + 5x2 * 7x) + -6x2 * (7 + 2x + 5x2) + 5x3 * (7 + 2x + 5x2)) = 0 ((49x + 14x2 + 35x3) + -6x2 * (7 + 2x + 5x2) + 5x3 * (7 + 2x + 5x2)) = 0 (49x + 14x2 + 35x3 + (7 * -6x2 + 2x * -6x2 + 5x2 * -6x2) + 5x3 * (7 + 2x + 5x2)) = 0 (49x + 14x2 + 35x3 + (-42x2 + -12x3 + -30x4) + 5x3 * (7 + 2x + 5x2)) = 0 (49x + 14x2 + 35x3 + -42x2 + -12x3 + -30x4 + (7 * 5x3 + 2x * 5x3 + 5x2 * 5x3)) = 0 (49x + 14x2 + 35x3 + -42x2 + -12x3 + -30x4 + (35x3 + 10x4 + 25x5)) = 0 Reorder the terms: (49x + 14x2 + -42x2 + 35x3 + -12x3 + 35x3 + -30x4 + 10x4 + 25x5) = 0 Combine like terms: 14x2 + -42x2 = -28x2 (49x + -28x2 + 35x3 + -12x3 + 35x3 + -30x4 + 10x4 + 25x5) = 0 Combine like terms: 35x3 + -12x3 = 23x3 (49x + -28x2 + 23x3 + 35x3 + -30x4 + 10x4 + 25x5) = 0 Combine like terms: 23x3 + 35x3 = 58x3 (49x + -28x2 + 58x3 + -30x4 + 10x4 + 25x5) = 0 Combine like terms: -30x4 + 10x4 = -20x4 (49x + -28x2 + 58x3 + -20x4 + 25x5) = 0 Solving 49x + -28x2 + 58x3 + -20x4 + 25x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(49 + -28x + 58x2 + -20x3 + 25x4) = 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 '(49 + -28x + 58x2 + -20x3 + 25x4)' equal to zero and attempt to solve: Simplifying 49 + -28x + 58x2 + -20x3 + 25x4 = 0 Solving 49 + -28x + 58x2 + -20x3 + 25x4 = 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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