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Simplifying 0 = 28x4 + -84x8 + 10x4 Reorder the terms: 0 = 28x4 + 10x4 + -84x8 Combine like terms: 28x4 + 10x4 = 38x4 0 = 38x4 + -84x8 Solving 0 = 38x4 + -84x8 Solving for variable 'x'. Remove the zero: -38x4 + 84x8 = 38x4 + -84x8 + -38x4 + 84x8 Reorder the terms: -38x4 + 84x8 = 38x4 + -38x4 + -84x8 + 84x8 Combine like terms: 38x4 + -38x4 = 0 -38x4 + 84x8 = 0 + -84x8 + 84x8 -38x4 + 84x8 = -84x8 + 84x8 Combine like terms: -84x8 + 84x8 = 0 -38x4 + 84x8 = 0 Factor out the Greatest Common Factor (GCF), '2x4'. 2x4(-19 + 42x4) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x4' equal to zero and attempt to solve: Simplifying x4 = 0 Solving x4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-19 + 42x4)' equal to zero and attempt to solve: Simplifying -19 + 42x4 = 0 Solving -19 + 42x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 42x4 = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 42x4 = 0 + 19 42x4 = 0 + 19 Combine like terms: 0 + 19 = 19 42x4 = 19 Divide each side by '42'. x4 = 0.4523809524 Simplifying x4 = 0.4523809524 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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