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Simplifying 49x4 + -14x2 + 1 = 0 Reorder the terms: 1 + -14x2 + 49x4 = 0 Solving 1 + -14x2 + 49x4 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -7x2)(1 + -7x2) = 0Subproblem 1
Set the factor '(1 + -7x2)' equal to zero and attempt to solve: Simplifying 1 + -7x2 = 0 Solving 1 + -7x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -7x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7x2 = 0 + -1 -7x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -7x2 = -1 Divide each side by '-7'. x2 = 0.1428571429 Simplifying x2 = 0.1428571429 Take the square root of each side: x = {-0.377964473, 0.377964473}Subproblem 2
Set the factor '(1 + -7x2)' equal to zero and attempt to solve: Simplifying 1 + -7x2 = 0 Solving 1 + -7x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -7x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7x2 = 0 + -1 -7x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -7x2 = -1 Divide each side by '-7'. x2 = 0.1428571429 Simplifying x2 = 0.1428571429 Take the square root of each side: x = {-0.377964473, 0.377964473}Solution
x = {-0.377964473, 0.377964473, -0.377964473, 0.377964473}
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