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Simplifying 12x + -75x11 = 0 Solving 12x + -75x11 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(4 + -25x10) = 0 Factor a difference between two squares. 3x((2 + 5x5)(2 + -5x5)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(2 + 5x5)' equal to zero and attempt to solve: Simplifying 2 + 5x5 = 0 Solving 2 + 5x5 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5x5 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x5 = 0 + -2 5x5 = 0 + -2 Combine like terms: 0 + -2 = -2 5x5 = -2 Divide each side by '5'. x5 = -0.4 Simplifying x5 = -0.4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(2 + -5x5)' equal to zero and attempt to solve: Simplifying 2 + -5x5 = 0 Solving 2 + -5x5 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5x5 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x5 = 0 + -2 -5x5 = 0 + -2 Combine like terms: 0 + -2 = -2 -5x5 = -2 Divide each side by '-5'. x5 = 0.4 Simplifying x5 = 0.4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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