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Simplifying (2x + -7) = (x2 + 3x + -4) Reorder the terms: (-7 + 2x) = (x2 + 3x + -4) Remove parenthesis around (-7 + 2x) -7 + 2x = (x2 + 3x + -4) Reorder the terms: -7 + 2x = (-4 + 3x + x2) Remove parenthesis around (-4 + 3x + x2) -7 + 2x = -4 + 3x + x2 Solving -7 + 2x = -4 + 3x + x2 Solving for variable 'x'. Reorder the terms: -7 + 4 + 2x + -3x + -1x2 = -4 + 3x + x2 + 4 + -3x + -1x2 Combine like terms: -7 + 4 = -3 -3 + 2x + -3x + -1x2 = -4 + 3x + x2 + 4 + -3x + -1x2 Combine like terms: 2x + -3x = -1x -3 + -1x + -1x2 = -4 + 3x + x2 + 4 + -3x + -1x2 Reorder the terms: -3 + -1x + -1x2 = -4 + 4 + 3x + -3x + x2 + -1x2 Combine like terms: -4 + 4 = 0 -3 + -1x + -1x2 = 0 + 3x + -3x + x2 + -1x2 -3 + -1x + -1x2 = 3x + -3x + x2 + -1x2 Combine like terms: 3x + -3x = 0 -3 + -1x + -1x2 = 0 + x2 + -1x2 -3 + -1x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3 + -1x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(3 + x + x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(3 + x + x2)' equal to zero and attempt to solve: Simplifying 3 + x + x2 = 0 Solving 3 + x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-3' to each side of the equation. 3 + x + -3 + x2 = 0 + -3 Reorder the terms: 3 + -3 + x + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x + x2 = 0 + -3 x + x2 = 0 + -3 Combine like terms: 0 + -3 = -3 x + x2 = -3 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. x + 0.25 + x2 = -3 + 0.25 Reorder the terms: 0.25 + x + x2 = -3 + 0.25 Combine like terms: -3 + 0.25 = -2.75 0.25 + x + x2 = -2.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -2.75 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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