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Simplifying 8x2 + 88 = 20x + -2 + 3x2 Reorder the terms: 88 + 8x2 = 20x + -2 + 3x2 Reorder the terms: 88 + 8x2 = -2 + 20x + 3x2 Solving 88 + 8x2 = -2 + 20x + 3x2 Solving for variable 'x'. Reorder the terms: 88 + 2 + -20x + 8x2 + -3x2 = -2 + 20x + 3x2 + 2 + -20x + -3x2 Combine like terms: 88 + 2 = 90 90 + -20x + 8x2 + -3x2 = -2 + 20x + 3x2 + 2 + -20x + -3x2 Combine like terms: 8x2 + -3x2 = 5x2 90 + -20x + 5x2 = -2 + 20x + 3x2 + 2 + -20x + -3x2 Reorder the terms: 90 + -20x + 5x2 = -2 + 2 + 20x + -20x + 3x2 + -3x2 Combine like terms: -2 + 2 = 0 90 + -20x + 5x2 = 0 + 20x + -20x + 3x2 + -3x2 90 + -20x + 5x2 = 20x + -20x + 3x2 + -3x2 Combine like terms: 20x + -20x = 0 90 + -20x + 5x2 = 0 + 3x2 + -3x2 90 + -20x + 5x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 90 + -20x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(18 + -4x + x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(18 + -4x + x2)' equal to zero and attempt to solve: Simplifying 18 + -4x + x2 = 0 Solving 18 + -4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-18' to each side of the equation. 18 + -4x + -18 + x2 = 0 + -18 Reorder the terms: 18 + -18 + -4x + x2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -4x + x2 = 0 + -18 -4x + x2 = 0 + -18 Combine like terms: 0 + -18 = -18 -4x + x2 = -18 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -18 + 4 Reorder the terms: 4 + -4x + x2 = -18 + 4 Combine like terms: -18 + 4 = -14 4 + -4x + x2 = -14 Factor a perfect square on the left side: (x + -2)(x + -2) = -14 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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