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Simplifying -7 = x2 + 4x Reorder the terms: -7 = 4x + x2 Solving -7 = 4x + x2 Solving for variable 'x'. Reorder the terms: -7 + -4x + -1x2 = 4x + -4x + x2 + -1x2 Combine like terms: 4x + -4x = 0 -7 + -4x + -1x2 = 0 + x2 + -1x2 -7 + -4x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -7 + -4x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(7 + 4x + x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(7 + 4x + x2)' equal to zero and attempt to solve: Simplifying 7 + 4x + x2 = 0 Solving 7 + 4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-7' to each side of the equation. 7 + 4x + -7 + x2 = 0 + -7 Reorder the terms: 7 + -7 + 4x + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4x + x2 = 0 + -7 4x + x2 = 0 + -7 Combine like terms: 0 + -7 = -7 4x + x2 = -7 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 = -7 + 4 Reorder the terms: 4 + 4x + x2 = -7 + 4 Combine like terms: -7 + 4 = -3 4 + 4x + x2 = -3 Factor a perfect square on the left side: (x + 2)(x + 2) = -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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