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Simplifying -7x2 + 70x + -672 = 0 Reorder the terms: -672 + 70x + -7x2 = 0 Solving -672 + 70x + -7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7'. 7(-96 + 10x + -1x2) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-96 + 10x + -1x2)' equal to zero and attempt to solve: Simplifying -96 + 10x + -1x2 = 0 Solving -96 + 10x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 96 + -10x + x2 = 0 Move the constant term to the right: Add '-96' to each side of the equation. 96 + -10x + -96 + x2 = 0 + -96 Reorder the terms: 96 + -96 + -10x + x2 = 0 + -96 Combine like terms: 96 + -96 = 0 0 + -10x + x2 = 0 + -96 -10x + x2 = 0 + -96 Combine like terms: 0 + -96 = -96 -10x + x2 = -96 The x term is -10x. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10x + 25 + x2 = -96 + 25 Reorder the terms: 25 + -10x + x2 = -96 + 25 Combine like terms: -96 + 25 = -71 25 + -10x + x2 = -71 Factor a perfect square on the left side: (x + -5)(x + -5) = -71 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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