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Simplifying (4x6 + 14x5 + 10x) + -1(2x6 + 16x5 + -10x) = 0 Reorder the terms: (10x + 14x5 + 4x6) + -1(2x6 + 16x5 + -10x) = 0 Remove parenthesis around (10x + 14x5 + 4x6) 10x + 14x5 + 4x6 + -1(2x6 + 16x5 + -10x) = 0 Reorder the terms: 10x + 14x5 + 4x6 + -1(-10x + 16x5 + 2x6) = 0 10x + 14x5 + 4x6 + (-10x * -1 + 16x5 * -1 + 2x6 * -1) = 0 10x + 14x5 + 4x6 + (10x + -16x5 + -2x6) = 0 Reorder the terms: 10x + 10x + 14x5 + -16x5 + 4x6 + -2x6 = 0 Combine like terms: 10x + 10x = 20x 20x + 14x5 + -16x5 + 4x6 + -2x6 = 0 Combine like terms: 14x5 + -16x5 = -2x5 20x + -2x5 + 4x6 + -2x6 = 0 Combine like terms: 4x6 + -2x6 = 2x6 20x + -2x5 + 2x6 = 0 Solving 20x + -2x5 + 2x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(10 + -1x4 + x5) = 0 Ignore the factor 2.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 '(10 + -1x4 + x5)' equal to zero and attempt to solve: Simplifying 10 + -1x4 + x5 = 0 Solving 10 + -1x4 + x5 = 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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