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Simplifying x * x * x * x + -12x * x + 20 = 0 Multiply x * x x2 * x * x + -12x * x + 20 = 0 Multiply x2 * x x3 * x + -12x * x + 20 = 0 Multiply x3 * x x4 + -12x * x + 20 = 0 Multiply x * x x4 + -12x2 + 20 = 0 Reorder the terms: 20 + -12x2 + x4 = 0 Solving 20 + -12x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -1x2)(10 + -1x2) = 0Subproblem 1
Set the factor '(2 + -1x2)' equal to zero and attempt to solve: Simplifying 2 + -1x2 = 0 Solving 2 + -1x2 = 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 + -1x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x2 = 0 + -2 -1x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1x2 = -2 Divide each side by '-1'. x2 = 2 Simplifying x2 = 2 Take the square root of each side: x = {-1.414213562, 1.414213562}Subproblem 2
Set the factor '(10 + -1x2)' equal to zero and attempt to solve: Simplifying 10 + -1x2 = 0 Solving 10 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x2 = 0 + -10 -1x2 = 0 + -10 Combine like terms: 0 + -10 = -10 -1x2 = -10 Divide each side by '-1'. x2 = 10 Simplifying x2 = 10 Take the square root of each side: x = {-3.16227766, 3.16227766}Solution
x = {-1.414213562, 1.414213562, -3.16227766, 3.16227766}
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