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Simplifying (x3 + -6)(x3 + -6) + 3(x3 + -6) + -10 = 0 Reorder the terms: (-6 + x3)(x3 + -6) + 3(x3 + -6) + -10 = 0 Reorder the terms: (-6 + x3)(-6 + x3) + 3(x3 + -6) + -10 = 0 Multiply (-6 + x3) * (-6 + x3) (-6(-6 + x3) + x3(-6 + x3)) + 3(x3 + -6) + -10 = 0 ((-6 * -6 + x3 * -6) + x3(-6 + x3)) + 3(x3 + -6) + -10 = 0 ((36 + -6x3) + x3(-6 + x3)) + 3(x3 + -6) + -10 = 0 (36 + -6x3 + (-6 * x3 + x3 * x3)) + 3(x3 + -6) + -10 = 0 (36 + -6x3 + (-6x3 + x6)) + 3(x3 + -6) + -10 = 0 Combine like terms: -6x3 + -6x3 = -12x3 (36 + -12x3 + x6) + 3(x3 + -6) + -10 = 0 Reorder the terms: 36 + -12x3 + x6 + 3(-6 + x3) + -10 = 0 36 + -12x3 + x6 + (-6 * 3 + x3 * 3) + -10 = 0 36 + -12x3 + x6 + (-18 + 3x3) + -10 = 0 Reorder the terms: 36 + -18 + -10 + -12x3 + 3x3 + x6 = 0 Combine like terms: 36 + -18 = 18 18 + -10 + -12x3 + 3x3 + x6 = 0 Combine like terms: 18 + -10 = 8 8 + -12x3 + 3x3 + x6 = 0 Combine like terms: -12x3 + 3x3 = -9x3 8 + -9x3 + x6 = 0 Solving 8 + -9x3 + x6 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -1x3)(8 + -1x3) = 0Subproblem 1
Set the factor '(1 + -1x3)' equal to zero and attempt to solve: Simplifying 1 + -1x3 = 0 Solving 1 + -1x3 = 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 + -1x3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x3 = 0 + -1 -1x3 = 0 + -1 Combine like terms: 0 + -1 = -1 -1x3 = -1 Divide each side by '-1'. x3 = 1 Simplifying x3 = 1 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 '(8 + -1x3)' equal to zero and attempt to solve: Simplifying 8 + -1x3 = 0 Solving 8 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x3 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x3 = 0 + -8 -1x3 = 0 + -8 Combine like terms: 0 + -8 = -8 -1x3 = -8 Divide each side by '-1'. x3 = 8 Simplifying x3 = 8 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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