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Simplifying 169x4 + -104x2 + 16 = 0 Reorder the terms: 16 + -104x2 + 169x4 = 0 Solving 16 + -104x2 + 169x4 = 0 Solving for variable 'x'. Factor a trinomial. (4 + -13x2)(4 + -13x2) = 0Subproblem 1
Set the factor '(4 + -13x2)' equal to zero and attempt to solve: Simplifying 4 + -13x2 = 0 Solving 4 + -13x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -13x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -13x2 = 0 + -4 -13x2 = 0 + -4 Combine like terms: 0 + -4 = -4 -13x2 = -4 Divide each side by '-13'. x2 = 0.3076923077 Simplifying x2 = 0.3076923077 Take the square root of each side: x = {-0.554700196, 0.554700196}Subproblem 2
Set the factor '(4 + -13x2)' equal to zero and attempt to solve: Simplifying 4 + -13x2 = 0 Solving 4 + -13x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -13x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -13x2 = 0 + -4 -13x2 = 0 + -4 Combine like terms: 0 + -4 = -4 -13x2 = -4 Divide each side by '-13'. x2 = 0.3076923077 Simplifying x2 = 0.3076923077 Take the square root of each side: x = {-0.554700196, 0.554700196}Solution
x = {-0.554700196, 0.554700196, -0.554700196, 0.554700196}
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