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Simplifying (5x3 + -2)(x3 + -3) = 0 Reorder the terms: (-2 + 5x3)(x3 + -3) = 0 Reorder the terms: (-2 + 5x3)(-3 + x3) = 0 Multiply (-2 + 5x3) * (-3 + x3) (-2(-3 + x3) + 5x3 * (-3 + x3)) = 0 ((-3 * -2 + x3 * -2) + 5x3 * (-3 + x3)) = 0 ((6 + -2x3) + 5x3 * (-3 + x3)) = 0 (6 + -2x3 + (-3 * 5x3 + x3 * 5x3)) = 0 (6 + -2x3 + (-15x3 + 5x6)) = 0 Combine like terms: -2x3 + -15x3 = -17x3 (6 + -17x3 + 5x6) = 0 Solving 6 + -17x3 + 5x6 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -5x3)(3 + -1x3) = 0Subproblem 1
Set the factor '(2 + -5x3)' equal to zero and attempt to solve: Simplifying 2 + -5x3 = 0 Solving 2 + -5x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5x3 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x3 = 0 + -2 -5x3 = 0 + -2 Combine like terms: 0 + -2 = -2 -5x3 = -2 Divide each side by '-5'. x3 = 0.4 Simplifying x3 = 0.4 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 + -1x3)' equal to zero and attempt to solve: Simplifying 3 + -1x3 = 0 Solving 3 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x3 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x3 = 0 + -3 -1x3 = 0 + -3 Combine like terms: 0 + -3 = -3 -1x3 = -3 Divide each side by '-1'. x3 = 3 Simplifying x3 = 3 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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