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Simplifying 5x5 + 10x4 + -15x3 + 10x2 = 0 Reorder the terms: 10x2 + -15x3 + 10x4 + 5x5 = 0 Solving 10x2 + -15x3 + 10x4 + 5x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x2'. 5x2(2 + -3x + 2x2 + x3) = 0 Ignore the factor 5.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 '(2 + -3x + 2x2 + x3)' equal to zero and attempt to solve: Simplifying 2 + -3x + 2x2 + x3 = 0 Solving 2 + -3x + 2x2 + x3 = 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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