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Simplifying 4x4 + -21x2 + 26 = 0 Reorder the terms: 26 + -21x2 + 4x4 = 0 Solving 26 + -21x2 + 4x4 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -1x2)(13 + -4x2) = 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 '(13 + -4x2)' equal to zero and attempt to solve: Simplifying 13 + -4x2 = 0 Solving 13 + -4x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -4x2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -4x2 = 0 + -13 -4x2 = 0 + -13 Combine like terms: 0 + -13 = -13 -4x2 = -13 Divide each side by '-4'. x2 = 3.25 Simplifying x2 = 3.25 Take the square root of each side: x = {-1.802775638, 1.802775638}Solution
x = {-1.414213562, 1.414213562, -1.802775638, 1.802775638}
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