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Simplifying x4 + -650x2 + 90000 = 0 Reorder the terms: 90000 + -650x2 + x4 = 0 Solving 90000 + -650x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (200 + -1x2)(450 + -1x2) = 0Subproblem 1
Set the factor '(200 + -1x2)' equal to zero and attempt to solve: Simplifying 200 + -1x2 = 0 Solving 200 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-200' to each side of the equation. 200 + -200 + -1x2 = 0 + -200 Combine like terms: 200 + -200 = 0 0 + -1x2 = 0 + -200 -1x2 = 0 + -200 Combine like terms: 0 + -200 = -200 -1x2 = -200 Divide each side by '-1'. x2 = 200 Simplifying x2 = 200 Take the square root of each side: x = {-14.142135624, 14.142135624}Subproblem 2
Set the factor '(450 + -1x2)' equal to zero and attempt to solve: Simplifying 450 + -1x2 = 0 Solving 450 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-450' to each side of the equation. 450 + -450 + -1x2 = 0 + -450 Combine like terms: 450 + -450 = 0 0 + -1x2 = 0 + -450 -1x2 = 0 + -450 Combine like terms: 0 + -450 = -450 -1x2 = -450 Divide each side by '-1'. x2 = 450 Simplifying x2 = 450 Take the square root of each side: x = {-21.213203436, 21.213203436}Solution
x = {-14.142135624, 14.142135624, -21.213203436, 21.213203436}
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