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Simplifying 0 = 8x7 + -24x5 Reorder the terms: 0 = -24x5 + 8x7 Solving 0 = -24x5 + 8x7 Solving for variable 'x'. Remove the zero: 24x5 + -8x7 = -24x5 + 8x7 + 24x5 + -8x7 Reorder the terms: 24x5 + -8x7 = -24x5 + 24x5 + 8x7 + -8x7 Combine like terms: -24x5 + 24x5 = 0 24x5 + -8x7 = 0 + 8x7 + -8x7 24x5 + -8x7 = 8x7 + -8x7 Combine like terms: 8x7 + -8x7 = 0 24x5 + -8x7 = 0 Factor out the Greatest Common Factor (GCF), '8x5'. 8x5(3 + -1x2) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'x5' equal to zero and attempt to solve: Simplifying x5 = 0 Solving x5 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x5 = 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 '(3 + -1x2)' equal to zero and attempt to solve: Simplifying 3 + -1x2 = 0 Solving 3 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x2 = 0 + -3 -1x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1x2 = -3 Divide each side by '-1'. x2 = 3 Simplifying x2 = 3 Take the square root of each side: x = {-1.732050808, 1.732050808}Solution
x = {-1.732050808, 1.732050808}
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