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Simplifying 3x4 + 29x2 + -10 = 0 Reorder the terms: -10 + 29x2 + 3x4 = 0 Solving -10 + 29x2 + 3x4 = 0 Solving for variable 'x'. Factor a trinomial. (-10 + -1x2)(1 + -3x2) = 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 '(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 Take the square root of each side: x = {-0.577350269, 0.577350269}Solution
x = {-0.577350269, 0.577350269}
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