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Simplifying 10x2 + -40x + 56 = 0 Reorder the terms: 56 + -40x + 10x2 = 0 Solving 56 + -40x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(28 + -20x + 5x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(28 + -20x + 5x2)' equal to zero and attempt to solve: Simplifying 28 + -20x + 5x2 = 0 Solving 28 + -20x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 5.6 + -4x + x2 = 0 Move the constant term to the right: Add '-5.6' to each side of the equation. 5.6 + -4x + -5.6 + x2 = 0 + -5.6 Reorder the terms: 5.6 + -5.6 + -4x + x2 = 0 + -5.6 Combine like terms: 5.6 + -5.6 = 0.0 0.0 + -4x + x2 = 0 + -5.6 -4x + x2 = 0 + -5.6 Combine like terms: 0 + -5.6 = -5.6 -4x + x2 = -5.6 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 = -5.6 + 4 Reorder the terms: 4 + -4x + x2 = -5.6 + 4 Combine like terms: -5.6 + 4 = -1.6 4 + -4x + x2 = -1.6 Factor a perfect square on the left side: (x + -2)(x + -2) = -1.6 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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