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Simplifying 6x4 + -1x2 = 35 Reorder the terms: -1x2 + 6x4 = 35 Solving -1x2 + 6x4 = 35 Solving for variable 'x'. Reorder the terms: -35 + -1x2 + 6x4 = 35 + -35 Combine like terms: 35 + -35 = 0 -35 + -1x2 + 6x4 = 0 Factor a trinomial. (-7 + -3x2)(5 + -2x2) = 0Subproblem 1
Set the factor '(-7 + -3x2)' equal to zero and attempt to solve: Simplifying -7 + -3x2 = 0 Solving -7 + -3x2 = 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 + -3x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3x2 = 0 + 7 -3x2 = 0 + 7 Combine like terms: 0 + 7 = 7 -3x2 = 7 Divide each side by '-3'. x2 = -2.333333333 Simplifying x2 = -2.333333333 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 '(5 + -2x2)' equal to zero and attempt to solve: Simplifying 5 + -2x2 = 0 Solving 5 + -2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x2 = 0 + -5 -2x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -2x2 = -5 Divide each side by '-2'. x2 = 2.5 Simplifying x2 = 2.5 Take the square root of each side: x = {-1.58113883, 1.58113883}Solution
x = {-1.58113883, 1.58113883}
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