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Simplifying 4x5 + -6x6 + 2x5 + -7x5 = 0 Reorder the terms: 4x5 + 2x5 + -7x5 + -6x6 = 0 Combine like terms: 4x5 + 2x5 = 6x5 6x5 + -7x5 + -6x6 = 0 Combine like terms: 6x5 + -7x5 = -1x5 -1x5 + -6x6 = 0 Solving -1x5 + -6x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1x5'. -1x5(1 + 6x) = 0 Ignore the factor -1.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 '(1 + 6x)' equal to zero and attempt to solve: Simplifying 1 + 6x = 0 Solving 1 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 0 + -1 6x = 0 + -1 Combine like terms: 0 + -1 = -1 6x = -1 Divide each side by '6'. x = -0.1666666667 Simplifying x = -0.1666666667Solution
x = {-0.1666666667}
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