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Simplifying 10y4 + -7y2 + -12 = 0 Reorder the terms: -12 + -7y2 + 10y4 = 0 Solving -12 + -7y2 + 10y4 = 0 Solving for variable 'y'. Factor a trinomial. (-4 + -5y2)(3 + -2y2) = 0Subproblem 1
Set the factor '(-4 + -5y2)' equal to zero and attempt to solve: Simplifying -4 + -5y2 = 0 Solving -4 + -5y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -5y2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5y2 = 0 + 4 -5y2 = 0 + 4 Combine like terms: 0 + 4 = 4 -5y2 = 4 Divide each side by '-5'. y2 = -0.8 Simplifying y2 = -0.8 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 + -2y2)' equal to zero and attempt to solve: Simplifying 3 + -2y2 = 0 Solving 3 + -2y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2y2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2y2 = 0 + -3 -2y2 = 0 + -3 Combine like terms: 0 + -3 = -3 -2y2 = -3 Divide each side by '-2'. y2 = 1.5 Simplifying y2 = 1.5 Take the square root of each side: y = {-1.224744871, 1.224744871}Solution
y = {-1.224744871, 1.224744871}
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