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Simplifying -4x2 + -56 = 7x Reorder the terms: -56 + -4x2 = 7x Solving -56 + -4x2 = 7x Solving for variable 'x'. Reorder the terms: -56 + -7x + -4x2 = 7x + -7x Combine like terms: 7x + -7x = 0 -56 + -7x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(56 + 7x + 4x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(56 + 7x + 4x2)' equal to zero and attempt to solve: Simplifying 56 + 7x + 4x2 = 0 Solving 56 + 7x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 14 + 1.75x + x2 = 0 Move the constant term to the right: Add '-14' to each side of the equation. 14 + 1.75x + -14 + x2 = 0 + -14 Reorder the terms: 14 + -14 + 1.75x + x2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 1.75x + x2 = 0 + -14 1.75x + x2 = 0 + -14 Combine like terms: 0 + -14 = -14 1.75x + x2 = -14 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 = -14 + 0.765625 Reorder the terms: 0.765625 + 1.75x + x2 = -14 + 0.765625 Combine like terms: -14 + 0.765625 = -13.234375 0.765625 + 1.75x + x2 = -13.234375 Factor a perfect square on the left side: (x + 0.875)(x + 0.875) = -13.234375 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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