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Simplifying -1x2 + -6x = 84 Reorder the terms: -6x + -1x2 = 84 Solving -6x + -1x2 = 84 Solving for variable 'x'. Reorder the terms: -84 + -6x + -1x2 = 84 + -84 Combine like terms: 84 + -84 = 0 -84 + -6x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(84 + 6x + x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(84 + 6x + x2)' equal to zero and attempt to solve: Simplifying 84 + 6x + x2 = 0 Solving 84 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-84' to each side of the equation. 84 + 6x + -84 + x2 = 0 + -84 Reorder the terms: 84 + -84 + 6x + x2 = 0 + -84 Combine like terms: 84 + -84 = 0 0 + 6x + x2 = 0 + -84 6x + x2 = 0 + -84 Combine like terms: 0 + -84 = -84 6x + x2 = -84 The x term is 6x. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6x + 9 + x2 = -84 + 9 Reorder the terms: 9 + 6x + x2 = -84 + 9 Combine like terms: -84 + 9 = -75 9 + 6x + x2 = -75 Factor a perfect square on the left side: (x + 3)(x + 3) = -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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