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Simplifying 20x2 + (-4x) + 35 + (-7) = 0 20x2 + (-4x) + 35 + -7 = 0 Reorder the terms: 35 + -7 + (-4x) + 20x2 = 0 Combine like terms: 35 + -7 = 28 28 + (-4x) + 20x2 = 0 Solving 28 + (-4x) + 20x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(7 + (-1x) + 5x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(7 + (-1x) + 5x2)' equal to zero and attempt to solve: Simplifying 7 + (-1x) + 5x2 = 0 Solving 7 + (-1x) + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1.4 + (-0.2x) + x2 = 0 Move the constant term to the right: Add '-1.4' to each side of the equation. 1.4 + (-0.2x) + -1.4 + x2 = 0 + -1.4 Reorder the terms: 1.4 + -1.4 + (-0.2x) + x2 = 0 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + (-0.2x) + x2 = 0 + -1.4 (-0.2x) + x2 = 0 + -1.4 Combine like terms: 0 + -1.4 = -1.4 (-0.2x) + x2 = -1.4 The x term is (-0.2x). Take half its coefficient (-0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. (-0.2x) + 0.01 + x2 = -1.4 + 0.01 Reorder the terms: 0.01 + (-0.2x) + x2 = -1.4 + 0.01 Combine like terms: -1.4 + 0.01 = -1.39 0.01 + (-0.2x) + x2 = -1.39 Factor a perfect square on the left side: (x + -0.1)(x + -0.1) = -1.39 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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