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Simplifying 12x4 + -19x2 + -70 = 0 Reorder the terms: -70 + -19x2 + 12x4 = 0 Solving -70 + -19x2 + 12x4 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -4x2)(10 + -3x2) = 0Subproblem 1
Set the factor '(-7 + -4x2)' equal to zero and attempt to solve: Simplifying -7 + -4x2 = 0 Solving -7 + -4x2 = 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 + -4x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -4x2 = 0 + 7 -4x2 = 0 + 7 Combine like terms: 0 + 7 = 7 -4x2 = 7 Divide each side by '-4'. x2 = -1.75 Simplifying x2 = -1.75 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 '(10 + -3x2)' equal to zero and attempt to solve: Simplifying 10 + -3x2 = 0 Solving 10 + -3x2 = 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 + -3x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3x2 = 0 + -10 -3x2 = 0 + -10 Combine like terms: 0 + -10 = -10 -3x2 = -10 Divide each side by '-3'. x2 = 3.333333333 Simplifying x2 = 3.333333333 Take the square root of each side: x = {-1.825741858, 1.825741858}Solution
x = {-1.825741858, 1.825741858}
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