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Simplifying 21x7 + -12x5 = 0 Reorder the terms: -12x5 + 21x7 = 0 Solving -12x5 + 21x7 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x5'. 3x5(-4 + 7x2) = 0 Ignore the factor 3.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 '(-4 + 7x2)' equal to zero and attempt to solve: Simplifying -4 + 7x2 = 0 Solving -4 + 7x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 7x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 7x2 = 0 + 4 7x2 = 0 + 4 Combine like terms: 0 + 4 = 4 7x2 = 4 Divide each side by '7'. x2 = 0.5714285714 Simplifying x2 = 0.5714285714 Take the square root of each side: x = {-0.755928946, 0.755928946}Solution
x = {-0.755928946, 0.755928946}
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