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