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Simplifying 20x2 + -45x10 = 0 Solving 20x2 + -45x10 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x2'. 5x2(4 + -9x8) = 0 Factor a difference between two squares. 5x2((2 + 3x4)(2 + -3x4)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(2 + 3x4)' equal to zero and attempt to solve: Simplifying 2 + 3x4 = 0 Solving 2 + 3x4 = 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 + 3x4 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x4 = 0 + -2 3x4 = 0 + -2 Combine like terms: 0 + -2 = -2 3x4 = -2 Divide each side by '3'. x4 = -0.6666666667 Simplifying x4 = -0.6666666667 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 + -3x4)' equal to zero and attempt to solve: Simplifying 2 + -3x4 = 0 Solving 2 + -3x4 = 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 + -3x4 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x4 = 0 + -2 -3x4 = 0 + -2 Combine like terms: 0 + -2 = -2 -3x4 = -2 Divide each side by '-3'. x4 = 0.6666666667 Simplifying x4 = 0.6666666667 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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