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Simplifying -4x2 + -7x + -15 = 0 Reorder the terms: -15 + -7x + -4x2 = 0 Solving -15 + -7x + -4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(15 + 7x + 4x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(15 + 7x + 4x2)' equal to zero and attempt to solve: Simplifying 15 + 7x + 4x2 = 0 Solving 15 + 7x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 3.75 + 1.75x + x2 = 0 Move the constant term to the right: Add '-3.75' to each side of the equation. 3.75 + 1.75x + -3.75 + x2 = 0 + -3.75 Reorder the terms: 3.75 + -3.75 + 1.75x + x2 = 0 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + 1.75x + x2 = 0 + -3.75 1.75x + x2 = 0 + -3.75 Combine like terms: 0 + -3.75 = -3.75 1.75x + x2 = -3.75 The x term is 1.75x. Take half its coefficient (0.875). Square it (0.765625) and add it to both sides. Add '0.765625' to each side of the equation. 1.75x + 0.765625 + x2 = -3.75 + 0.765625 Reorder the terms: 0.765625 + 1.75x + x2 = -3.75 + 0.765625 Combine like terms: -3.75 + 0.765625 = -2.984375 0.765625 + 1.75x + x2 = -2.984375 Factor a perfect square on the left side: (x + 0.875)(x + 0.875) = -2.984375 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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