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Simplifying (x + 3)(x + -5) = (x + 3) * x(x + 3) Reorder the terms: (3 + x)(x + -5) = (x + 3) * x(x + 3) Reorder the terms: (3 + x)(-5 + x) = (x + 3) * x(x + 3) Multiply (3 + x) * (-5 + x) (3(-5 + x) + x(-5 + x)) = (x + 3) * x(x + 3) ((-5 * 3 + x * 3) + x(-5 + x)) = (x + 3) * x(x + 3) ((-15 + 3x) + x(-5 + x)) = (x + 3) * x(x + 3) (-15 + 3x + (-5 * x + x * x)) = (x + 3) * x(x + 3) (-15 + 3x + (-5x + x2)) = (x + 3) * x(x + 3) Combine like terms: 3x + -5x = -2x (-15 + -2x + x2) = (x + 3) * x(x + 3) Reorder the terms: -15 + -2x + x2 = (3 + x) * x(x + 3) Reorder the terms: -15 + -2x + x2 = (3 + x) * x(3 + x) Reorder the terms for easier multiplication: -15 + -2x + x2 = x(3 + x)(3 + x) Multiply (3 + x) * (3 + x) -15 + -2x + x2 = x(3(3 + x) + x(3 + x)) -15 + -2x + x2 = x((3 * 3 + x * 3) + x(3 + x)) -15 + -2x + x2 = x((9 + 3x) + x(3 + x)) -15 + -2x + x2 = x(9 + 3x + (3 * x + x * x)) -15 + -2x + x2 = x(9 + 3x + (3x + x2)) Combine like terms: 3x + 3x = 6x -15 + -2x + x2 = x(9 + 6x + x2) -15 + -2x + x2 = (9 * x + 6x * x + x2 * x) -15 + -2x + x2 = (9x + 6x2 + x3) Solving -15 + -2x + x2 = 9x + 6x2 + x3 Solving for variable 'x'. Reorder the terms: -15 + -2x + -9x + x2 + -6x2 + -1x3 = 9x + 6x2 + x3 + -9x + -6x2 + -1x3 Combine like terms: -2x + -9x = -11x -15 + -11x + x2 + -6x2 + -1x3 = 9x + 6x2 + x3 + -9x + -6x2 + -1x3 Combine like terms: x2 + -6x2 = -5x2 -15 + -11x + -5x2 + -1x3 = 9x + 6x2 + x3 + -9x + -6x2 + -1x3 Reorder the terms: -15 + -11x + -5x2 + -1x3 = 9x + -9x + 6x2 + -6x2 + x3 + -1x3 Combine like terms: 9x + -9x = 0 -15 + -11x + -5x2 + -1x3 = 0 + 6x2 + -6x2 + x3 + -1x3 -15 + -11x + -5x2 + -1x3 = 6x2 + -6x2 + x3 + -1x3 Combine like terms: 6x2 + -6x2 = 0 -15 + -11x + -5x2 + -1x3 = 0 + x3 + -1x3 -15 + -11x + -5x2 + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 -15 + -11x + -5x2 + -1x3 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(15 + 11x + 5x2 + x3) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(15 + 11x + 5x2 + x3)' equal to zero and attempt to solve: Simplifying 15 + 11x + 5x2 + x3 = 0 Solving 15 + 11x + 5x2 + x3 = 0 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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