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Simplifying 7X2 + -28X = -63 Reorder the terms: -28X + 7X2 = -63 Solving -28X + 7X2 = -63 Solving for variable 'X'. Reorder the terms: 63 + -28X + 7X2 = -63 + 63 Combine like terms: -63 + 63 = 0 63 + -28X + 7X2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(9 + -4X + X2) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(9 + -4X + X2)' equal to zero and attempt to solve: Simplifying 9 + -4X + X2 = 0 Solving 9 + -4X + X2 = 0 Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + -4X + -9 + X2 = 0 + -9 Reorder the terms: 9 + -9 + -4X + X2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4X + X2 = 0 + -9 -4X + X2 = 0 + -9 Combine like terms: 0 + -9 = -9 -4X + X2 = -9 The X term is -4X. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4X + 4 + X2 = -9 + 4 Reorder the terms: 4 + -4X + X2 = -9 + 4 Combine like terms: -9 + 4 = -5 4 + -4X + X2 = -5 Factor a perfect square on the left side: (X + -2)(X + -2) = -5 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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