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Simplifying 4x4 + -20x2 + 21 = 0 Reorder the terms: 21 + -20x2 + 4x4 = 0 Solving 21 + -20x2 + 4x4 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -2x2)(7 + -2x2) = 0Subproblem 1
Set the factor '(3 + -2x2)' equal to zero and attempt to solve: Simplifying 3 + -2x2 = 0 Solving 3 + -2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x2 = 0 + -3 -2x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -2x2 = -3 Divide each side by '-2'. x2 = 1.5 Simplifying x2 = 1.5 Take the square root of each side: x = {-1.224744871, 1.224744871}Subproblem 2
Set the factor '(7 + -2x2)' equal to zero and attempt to solve: Simplifying 7 + -2x2 = 0 Solving 7 + -2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x2 = 0 + -7 -2x2 = 0 + -7 Combine like terms: 0 + -7 = -7 -2x2 = -7 Divide each side by '-2'. x2 = 3.5 Simplifying x2 = 3.5 Take the square root of each side: x = {-1.870828693, 1.870828693}Solution
x = {-1.224744871, 1.224744871, -1.870828693, 1.870828693}
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