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Simplifying 40x4 + 3x2 + -28 = 0 Reorder the terms: -28 + 3x2 + 40x4 = 0 Solving -28 + 3x2 + 40x4 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -8x2)(4 + -5x2) = 0Subproblem 1
Set the factor '(-7 + -8x2)' equal to zero and attempt to solve: Simplifying -7 + -8x2 = 0 Solving -7 + -8x2 = 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 + -8x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -8x2 = 0 + 7 -8x2 = 0 + 7 Combine like terms: 0 + 7 = 7 -8x2 = 7 Divide each side by '-8'. x2 = -0.875 Simplifying x2 = -0.875 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 '(4 + -5x2)' equal to zero and attempt to solve: Simplifying 4 + -5x2 = 0 Solving 4 + -5x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x2 = 0 + -4 -5x2 = 0 + -4 Combine like terms: 0 + -4 = -4 -5x2 = -4 Divide each side by '-5'. x2 = 0.8 Simplifying x2 = 0.8 Take the square root of each side: x = {-0.894427191, 0.894427191}Solution
x = {-0.894427191, 0.894427191}
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