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Simplifying 6x5 + 10x4 = 3x3 + 5x2 Reorder the terms: 10x4 + 6x5 = 3x3 + 5x2 Reorder the terms: 10x4 + 6x5 = 5x2 + 3x3 Solving 10x4 + 6x5 = 5x2 + 3x3 Solving for variable 'x'. Reorder the terms: -5x2 + -3x3 + 10x4 + 6x5 = 5x2 + 3x3 + -5x2 + -3x3 Reorder the terms: -5x2 + -3x3 + 10x4 + 6x5 = 5x2 + -5x2 + 3x3 + -3x3 Combine like terms: 5x2 + -5x2 = 0 -5x2 + -3x3 + 10x4 + 6x5 = 0 + 3x3 + -3x3 -5x2 + -3x3 + 10x4 + 6x5 = 3x3 + -3x3 Combine like terms: 3x3 + -3x3 = 0 -5x2 + -3x3 + 10x4 + 6x5 = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(-5 + -3x + 10x2 + 6x3) = 0Subproblem 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 '(-5 + -3x + 10x2 + 6x3)' equal to zero and attempt to solve: Simplifying -5 + -3x + 10x2 + 6x3 = 0 Solving -5 + -3x + 10x2 + 6x3 = 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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