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Simplifying (3x2 + -4)(2x2 + 5) = 0 Reorder the terms: (-4 + 3x2)(2x2 + 5) = 0 Reorder the terms: (-4 + 3x2)(5 + 2x2) = 0 Multiply (-4 + 3x2) * (5 + 2x2) (-4(5 + 2x2) + 3x2 * (5 + 2x2)) = 0 ((5 * -4 + 2x2 * -4) + 3x2 * (5 + 2x2)) = 0 ((-20 + -8x2) + 3x2 * (5 + 2x2)) = 0 (-20 + -8x2 + (5 * 3x2 + 2x2 * 3x2)) = 0 (-20 + -8x2 + (15x2 + 6x4)) = 0 Combine like terms: -8x2 + 15x2 = 7x2 (-20 + 7x2 + 6x4) = 0 Solving -20 + 7x2 + 6x4 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -2x2)(4 + -3x2) = 0Subproblem 1
Set the factor '(-5 + -2x2)' equal to zero and attempt to solve: Simplifying -5 + -2x2 = 0 Solving -5 + -2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x2 = 0 + 5 -2x2 = 0 + 5 Combine like terms: 0 + 5 = 5 -2x2 = 5 Divide each side by '-2'. x2 = -2.5 Simplifying x2 = -2.5 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 + -3x2)' equal to zero and attempt to solve: Simplifying 4 + -3x2 = 0 Solving 4 + -3x2 = 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 + -3x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x2 = 0 + -4 -3x2 = 0 + -4 Combine like terms: 0 + -4 = -4 -3x2 = -4 Divide each side by '-3'. x2 = 1.333333333 Simplifying x2 = 1.333333333 Take the square root of each side: x = {-1.154700538, 1.154700538}Solution
x = {-1.154700538, 1.154700538}
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