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Simplifying x(2x + 2) = -30 Reorder the terms: x(2 + 2x) = -30 (2 * x + 2x * x) = -30 (2x + 2x2) = -30 Solving 2x + 2x2 = -30 Solving for variable 'x'. Reorder the terms: 30 + 2x + 2x2 = -30 + 30 Combine like terms: -30 + 30 = 0 30 + 2x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(15 + x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(15 + x + x2)' equal to zero and attempt to solve: Simplifying 15 + x + x2 = 0 Solving 15 + x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-15' to each side of the equation. 15 + x + -15 + x2 = 0 + -15 Reorder the terms: 15 + -15 + x + x2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + x + x2 = 0 + -15 x + x2 = 0 + -15 Combine like terms: 0 + -15 = -15 x + x2 = -15 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 = -15 + 0.25 Reorder the terms: 0.25 + x + x2 = -15 + 0.25 Combine like terms: -15 + 0.25 = -14.75 0.25 + x + x2 = -14.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -14.75 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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