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Simplifying (x + -5)(2x + -5) = (3x + -95) Reorder the terms: (-5 + x)(2x + -5) = (3x + -95) Reorder the terms: (-5 + x)(-5 + 2x) = (3x + -95) Multiply (-5 + x) * (-5 + 2x) (-5(-5 + 2x) + x(-5 + 2x)) = (3x + -95) ((-5 * -5 + 2x * -5) + x(-5 + 2x)) = (3x + -95) ((25 + -10x) + x(-5 + 2x)) = (3x + -95) (25 + -10x + (-5 * x + 2x * x)) = (3x + -95) (25 + -10x + (-5x + 2x2)) = (3x + -95) Combine like terms: -10x + -5x = -15x (25 + -15x + 2x2) = (3x + -95) Reorder the terms: 25 + -15x + 2x2 = (-95 + 3x) Remove parenthesis around (-95 + 3x) 25 + -15x + 2x2 = -95 + 3x Solving 25 + -15x + 2x2 = -95 + 3x Solving for variable 'x'. Reorder the terms: 25 + 95 + -15x + -3x + 2x2 = -95 + 3x + 95 + -3x Combine like terms: 25 + 95 = 120 120 + -15x + -3x + 2x2 = -95 + 3x + 95 + -3x Combine like terms: -15x + -3x = -18x 120 + -18x + 2x2 = -95 + 3x + 95 + -3x Reorder the terms: 120 + -18x + 2x2 = -95 + 95 + 3x + -3x Combine like terms: -95 + 95 = 0 120 + -18x + 2x2 = 0 + 3x + -3x 120 + -18x + 2x2 = 3x + -3x Combine like terms: 3x + -3x = 0 120 + -18x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(60 + -9x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(60 + -9x + x2)' equal to zero and attempt to solve: Simplifying 60 + -9x + x2 = 0 Solving 60 + -9x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-60' to each side of the equation. 60 + -9x + -60 + x2 = 0 + -60 Reorder the terms: 60 + -60 + -9x + x2 = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -9x + x2 = 0 + -60 -9x + x2 = 0 + -60 Combine like terms: 0 + -60 = -60 -9x + x2 = -60 The x term is -9x. Take half its coefficient (-4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. -9x + 20.25 + x2 = -60 + 20.25 Reorder the terms: 20.25 + -9x + x2 = -60 + 20.25 Combine like terms: -60 + 20.25 = -39.75 20.25 + -9x + x2 = -39.75 Factor a perfect square on the left side: (x + -4.5)(x + -4.5) = -39.75 Can't calculate square root of the right side. 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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