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Simplifying 286 = -1x(2x + -4) Reorder the terms: 286 = -1x(-4 + 2x) 286 = (-4 * -1x + 2x * -1x) 286 = (4x + -2x2) Solving 286 = 4x + -2x2 Solving for variable 'x'. Reorder the terms: 286 + -4x + 2x2 = 4x + -4x + -2x2 + 2x2 Combine like terms: 4x + -4x = 0 286 + -4x + 2x2 = 0 + -2x2 + 2x2 286 + -4x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 286 + -4x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(143 + -2x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(143 + -2x + x2)' equal to zero and attempt to solve: Simplifying 143 + -2x + x2 = 0 Solving 143 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-143' to each side of the equation. 143 + -2x + -143 + x2 = 0 + -143 Reorder the terms: 143 + -143 + -2x + x2 = 0 + -143 Combine like terms: 143 + -143 = 0 0 + -2x + x2 = 0 + -143 -2x + x2 = 0 + -143 Combine like terms: 0 + -143 = -143 -2x + x2 = -143 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 = -143 + 1 Reorder the terms: 1 + -2x + x2 = -143 + 1 Combine like terms: -143 + 1 = -142 1 + -2x + x2 = -142 Factor a perfect square on the left side: (x + -1)(x + -1) = -142 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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