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Simplifying x4 + 7x2 = 30 Reorder the terms: 7x2 + x4 = 30 Solving 7x2 + x4 = 30 Solving for variable 'x'. Reorder the terms: -30 + 7x2 + x4 = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + 7x2 + x4 = 0 Factor a trinomial. (-10 + -1x2)(3 + -1x2) = 0Subproblem 1
Set the factor '(-10 + -1x2)' equal to zero and attempt to solve: Simplifying -10 + -1x2 = 0 Solving -10 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1x2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1x2 = 0 + 10 -1x2 = 0 + 10 Combine like terms: 0 + 10 = 10 -1x2 = 10 Divide each side by '-1'. x2 = -10 Simplifying x2 = -10 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3 + -1x2)' equal to zero and attempt to solve: Simplifying 3 + -1x2 = 0 Solving 3 + -1x2 = 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 + -1x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x2 = 0 + -3 -1x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1x2 = -3 Divide each side by '-1'. x2 = 3 Simplifying x2 = 3 Take the square root of each side: x = {-1.732050808, 1.732050808}Solution
x = {-1.732050808, 1.732050808}
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