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Simplifying 65x5 + -91x3 = 0 Reorder the terms: -91x3 + 65x5 = 0 Solving -91x3 + 65x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '13x3'. 13x3(-7 + 5x2) = 0 Ignore the factor 13.Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 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 '(-7 + 5x2)' equal to zero and attempt to solve: Simplifying -7 + 5x2 = 0 Solving -7 + 5x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 5x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 5x2 = 0 + 7 5x2 = 0 + 7 Combine like terms: 0 + 7 = 7 5x2 = 7 Divide each side by '5'. x2 = 1.4 Simplifying x2 = 1.4 Take the square root of each side: x = {-1.183215957, 1.183215957}Solution
x = {-1.183215957, 1.183215957}
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