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Simplifying 4x4 + -52x2 + 133 = 0 Reorder the terms: 133 + -52x2 + 4x4 = 0 Solving 133 + -52x2 + 4x4 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -2x2)(19 + -2x2) = 0Subproblem 1
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}Subproblem 2
Set the factor '(19 + -2x2)' equal to zero and attempt to solve: Simplifying 19 + -2x2 = 0 Solving 19 + -2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -2x2 = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -2x2 = 0 + -19 -2x2 = 0 + -19 Combine like terms: 0 + -19 = -19 -2x2 = -19 Divide each side by '-2'. x2 = 9.5 Simplifying x2 = 9.5 Take the square root of each side: x = {-3.082207001, 3.082207001}Solution
x = {-1.870828693, 1.870828693, -3.082207001, 3.082207001}
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