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Simplifying 0 = (2x7) + -1(6x5) Remove parenthesis around (6x5) 0 = (2x7) + -1 * 6x5 Multiply -1 * 6 0 = (2x7) + -6x5 Reorder the terms: 0 = -6x5 + (2x7) Solving 0 = -6x5 + (2x7) Solving for variable 'x'. Remove the zero: 6x5 + (-2x7) = -6x5 + (2x7) + 6x5 + (-2x7) Reorder the terms: 6x5 + (-2x7) = -6x5 + 6x5 + (2x7) + (-2x7) Combine like terms: -6x5 + 6x5 = 0 6x5 + (-2x7) = 0 + (2x7) + (-2x7) 6x5 + (-2x7) = (2x7) + (-2x7) Combine like terms: (2x7) + (-2x7) = 0 6x5 + (-2x7) = 0 Factor out the Greatest Common Factor (GCF), '2x5'. 2x5(3 + (-1x2)) = 0 Ignore the factor 2.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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