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Simplifying 2x2 + -28x = -134 Reorder the terms: -28x + 2x2 = -134 Solving -28x + 2x2 = -134 Solving for variable 'x'. Reorder the terms: 134 + -28x + 2x2 = -134 + 134 Combine like terms: -134 + 134 = 0 134 + -28x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(67 + -14x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(67 + -14x + x2)' equal to zero and attempt to solve: Simplifying 67 + -14x + x2 = 0 Solving 67 + -14x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-67' to each side of the equation. 67 + -14x + -67 + x2 = 0 + -67 Reorder the terms: 67 + -67 + -14x + x2 = 0 + -67 Combine like terms: 67 + -67 = 0 0 + -14x + x2 = 0 + -67 -14x + x2 = 0 + -67 Combine like terms: 0 + -67 = -67 -14x + x2 = -67 The x term is -14x. Take half its coefficient (-7). Square it (49) and add it to both sides. Add '49' to each side of the equation. -14x + 49 + x2 = -67 + 49 Reorder the terms: 49 + -14x + x2 = -67 + 49 Combine like terms: -67 + 49 = -18 49 + -14x + x2 = -18 Factor a perfect square on the left side: (x + -7)(x + -7) = -18 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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