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Simplifying -3x(x + 4) = 15 Reorder the terms: -3x(4 + x) = 15 (4 * -3x + x * -3x) = 15 (-12x + -3x2) = 15 Solving -12x + -3x2 = 15 Solving for variable 'x'. Reorder the terms: -15 + -12x + -3x2 = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + -12x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '-3'. -3(5 + 4x + x2) = 0 Ignore the factor -3.Subproblem 1
Set the factor '(5 + 4x + x2)' equal to zero and attempt to solve: Simplifying 5 + 4x + x2 = 0 Solving 5 + 4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-5' to each side of the equation. 5 + 4x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + 4x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x + x2 = 0 + -5 4x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 4x + x2 = -5 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 = -5 + 4 Reorder the terms: 4 + 4x + x2 = -5 + 4 Combine like terms: -5 + 4 = -1 4 + 4x + x2 = -1 Factor a perfect square on the left side: (x + 2)(x + 2) = -1 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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