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Simplifying 4x2 + -16x + 20 = 2x2 + -18 Reorder the terms: 20 + -16x + 4x2 = 2x2 + -18 Reorder the terms: 20 + -16x + 4x2 = -18 + 2x2 Solving 20 + -16x + 4x2 = -18 + 2x2 Solving for variable 'x'. Reorder the terms: 20 + 18 + -16x + 4x2 + -2x2 = -18 + 2x2 + 18 + -2x2 Combine like terms: 20 + 18 = 38 38 + -16x + 4x2 + -2x2 = -18 + 2x2 + 18 + -2x2 Combine like terms: 4x2 + -2x2 = 2x2 38 + -16x + 2x2 = -18 + 2x2 + 18 + -2x2 Reorder the terms: 38 + -16x + 2x2 = -18 + 18 + 2x2 + -2x2 Combine like terms: -18 + 18 = 0 38 + -16x + 2x2 = 0 + 2x2 + -2x2 38 + -16x + 2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 38 + -16x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(19 + -8x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(19 + -8x + x2)' equal to zero and attempt to solve: Simplifying 19 + -8x + x2 = 0 Solving 19 + -8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-19' to each side of the equation. 19 + -8x + -19 + x2 = 0 + -19 Reorder the terms: 19 + -19 + -8x + x2 = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -8x + x2 = 0 + -19 -8x + x2 = 0 + -19 Combine like terms: 0 + -19 = -19 -8x + x2 = -19 The x term is -8x. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x + 16 + x2 = -19 + 16 Reorder the terms: 16 + -8x + x2 = -19 + 16 Combine like terms: -19 + 16 = -3 16 + -8x + x2 = -3 Factor a perfect square on the left side: (x + -4)(x + -4) = -3 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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