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Simplifying 30x7 = 5x5 Solving 30x7 = 5x5 Solving for variable 'x'. Reorder the terms: -5x5 + 30x7 = 5x5 + -5x5 Combine like terms: 5x5 + -5x5 = 0 -5x5 + 30x7 = 0 Factor out the Greatest Common Factor (GCF), '5x5'. 5x5(-1 + 6x2) = 0 Ignore the factor 5.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 + 6x2)' equal to zero and attempt to solve: Simplifying -1 + 6x2 = 0 Solving -1 + 6x2 = 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 + 6x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6x2 = 0 + 1 6x2 = 0 + 1 Combine like terms: 0 + 1 = 1 6x2 = 1 Divide each side by '6'. x2 = 0.1666666667 Simplifying x2 = 0.1666666667 Take the square root of each side: x = {-0.408248291, 0.408248291}Solution
x = {-0.408248291, 0.408248291}
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