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Simplifying (3x + 2)(2x + -5) = 4x(3x2 + 4x + -2) Reorder the terms: (2 + 3x)(2x + -5) = 4x(3x2 + 4x + -2) Reorder the terms: (2 + 3x)(-5 + 2x) = 4x(3x2 + 4x + -2) Multiply (2 + 3x) * (-5 + 2x) (2(-5 + 2x) + 3x * (-5 + 2x)) = 4x(3x2 + 4x + -2) ((-5 * 2 + 2x * 2) + 3x * (-5 + 2x)) = 4x(3x2 + 4x + -2) ((-10 + 4x) + 3x * (-5 + 2x)) = 4x(3x2 + 4x + -2) (-10 + 4x + (-5 * 3x + 2x * 3x)) = 4x(3x2 + 4x + -2) (-10 + 4x + (-15x + 6x2)) = 4x(3x2 + 4x + -2) Combine like terms: 4x + -15x = -11x (-10 + -11x + 6x2) = 4x(3x2 + 4x + -2) Reorder the terms: -10 + -11x + 6x2 = 4x(-2 + 4x + 3x2) -10 + -11x + 6x2 = (-2 * 4x + 4x * 4x + 3x2 * 4x) -10 + -11x + 6x2 = (-8x + 16x2 + 12x3) Solving -10 + -11x + 6x2 = -8x + 16x2 + 12x3 Solving for variable 'x'. Reorder the terms: -10 + -11x + 8x + 6x2 + -16x2 + -12x3 = -8x + 16x2 + 12x3 + 8x + -16x2 + -12x3 Combine like terms: -11x + 8x = -3x -10 + -3x + 6x2 + -16x2 + -12x3 = -8x + 16x2 + 12x3 + 8x + -16x2 + -12x3 Combine like terms: 6x2 + -16x2 = -10x2 -10 + -3x + -10x2 + -12x3 = -8x + 16x2 + 12x3 + 8x + -16x2 + -12x3 Reorder the terms: -10 + -3x + -10x2 + -12x3 = -8x + 8x + 16x2 + -16x2 + 12x3 + -12x3 Combine like terms: -8x + 8x = 0 -10 + -3x + -10x2 + -12x3 = 0 + 16x2 + -16x2 + 12x3 + -12x3 -10 + -3x + -10x2 + -12x3 = 16x2 + -16x2 + 12x3 + -12x3 Combine like terms: 16x2 + -16x2 = 0 -10 + -3x + -10x2 + -12x3 = 0 + 12x3 + -12x3 -10 + -3x + -10x2 + -12x3 = 12x3 + -12x3 Combine like terms: 12x3 + -12x3 = 0 -10 + -3x + -10x2 + -12x3 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(10 + 3x + 10x2 + 12x3) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(10 + 3x + 10x2 + 12x3)' equal to zero and attempt to solve: Simplifying 10 + 3x + 10x2 + 12x3 = 0 Solving 10 + 3x + 10x2 + 12x3 = 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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