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Simplifying 50 = 2x(-1x + 4) Reorder the terms: 50 = 2x(4 + -1x) 50 = (4 * 2x + -1x * 2x) 50 = (8x + -2x2) Solving 50 = 8x + -2x2 Solving for variable 'x'. Reorder the terms: 50 + -8x + 2x2 = 8x + -8x + -2x2 + 2x2 Combine like terms: 8x + -8x = 0 50 + -8x + 2x2 = 0 + -2x2 + 2x2 50 + -8x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 50 + -8x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(25 + -4x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(25 + -4x + x2)' equal to zero and attempt to solve: Simplifying 25 + -4x + x2 = 0 Solving 25 + -4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-25' to each side of the equation. 25 + -4x + -25 + x2 = 0 + -25 Reorder the terms: 25 + -25 + -4x + x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -4x + x2 = 0 + -25 -4x + x2 = 0 + -25 Combine like terms: 0 + -25 = -25 -4x + x2 = -25 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 = -25 + 4 Reorder the terms: 4 + -4x + x2 = -25 + 4 Combine like terms: -25 + 4 = -21 4 + -4x + x2 = -21 Factor a perfect square on the left side: (x + -2)(x + -2) = -21 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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