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Simplifying 2x2 + -20x + 49 = -7 Reorder the terms: 49 + -20x + 2x2 = -7 Solving 49 + -20x + 2x2 = -7 Solving for variable 'x'. Reorder the terms: 49 + 7 + -20x + 2x2 = -7 + 7 Combine like terms: 49 + 7 = 56 56 + -20x + 2x2 = -7 + 7 Combine like terms: -7 + 7 = 0 56 + -20x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(28 + -10x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(28 + -10x + x2)' equal to zero and attempt to solve: Simplifying 28 + -10x + x2 = 0 Solving 28 + -10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-28' to each side of the equation. 28 + -10x + -28 + x2 = 0 + -28 Reorder the terms: 28 + -28 + -10x + x2 = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -10x + x2 = 0 + -28 -10x + x2 = 0 + -28 Combine like terms: 0 + -28 = -28 -10x + x2 = -28 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 = -28 + 25 Reorder the terms: 25 + -10x + x2 = -28 + 25 Combine like terms: -28 + 25 = -3 25 + -10x + x2 = -3 Factor a perfect square on the left side: (x + -5)(x + -5) = -3 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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