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Simplifying 6x4 + -7x2 = 3 Reorder the terms: -7x2 + 6x4 = 3 Solving -7x2 + 6x4 = 3 Solving for variable 'x'. Reorder the terms: -3 + -7x2 + 6x4 = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + -7x2 + 6x4 = 0 Factor a trinomial. (-1 + -3x2)(3 + -2x2) = 0Subproblem 1
Set the factor '(-1 + -3x2)' equal to zero and attempt to solve: Simplifying -1 + -3x2 = 0 Solving -1 + -3x2 = 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 + -3x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x2 = 0 + 1 -3x2 = 0 + 1 Combine like terms: 0 + 1 = 1 -3x2 = 1 Divide each side by '-3'. x2 = -0.3333333333 Simplifying x2 = -0.3333333333 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 + -2x2)' equal to zero and attempt to solve: Simplifying 3 + -2x2 = 0 Solving 3 + -2x2 = 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 + -2x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x2 = 0 + -3 -2x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -2x2 = -3 Divide each side by '-2'. x2 = 1.5 Simplifying x2 = 1.5 Take the square root of each side: x = {-1.224744871, 1.224744871}Solution
x = {-1.224744871, 1.224744871}
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