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Simplifying 35x2 + -35x + 28 = 0 Reorder the terms: 28 + -35x + 35x2 = 0 Solving 28 + -35x + 35x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7'. 7(4 + -5x + 5x2) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(4 + -5x + 5x2)' equal to zero and attempt to solve: Simplifying 4 + -5x + 5x2 = 0 Solving 4 + -5x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.8 + -1x + x2 = 0 Move the constant term to the right: Add '-0.8' to each side of the equation. 0.8 + -1x + -0.8 + x2 = 0 + -0.8 Reorder the terms: 0.8 + -0.8 + -1x + x2 = 0 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -1x + x2 = 0 + -0.8 -1x + x2 = 0 + -0.8 Combine like terms: 0 + -0.8 = -0.8 -1x + x2 = -0.8 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -0.8 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -0.8 + 0.25 Combine like terms: -0.8 + 0.25 = -0.55 0.25 + -1x + x2 = -0.55 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -0.55 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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