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Simplifying 49x2 + -84x + 1764 = 0 Reorder the terms: 1764 + -84x + 49x2 = 0 Solving 1764 + -84x + 49x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7'. 7(252 + -12x + 7x2) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(252 + -12x + 7x2)' equal to zero and attempt to solve: Simplifying 252 + -12x + 7x2 = 0 Solving 252 + -12x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 36 + -1.714285714x + x2 = 0 Move the constant term to the right: Add '-36' to each side of the equation. 36 + -1.714285714x + -36 + x2 = 0 + -36 Reorder the terms: 36 + -36 + -1.714285714x + x2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1.714285714x + x2 = 0 + -36 -1.714285714x + x2 = 0 + -36 Combine like terms: 0 + -36 = -36 -1.714285714x + x2 = -36 The x term is -1.714285714x. Take half its coefficient (-0.857142857). Square it (0.7346938773) and add it to both sides. Add '0.7346938773' to each side of the equation. -1.714285714x + 0.7346938773 + x2 = -36 + 0.7346938773 Reorder the terms: 0.7346938773 + -1.714285714x + x2 = -36 + 0.7346938773 Combine like terms: -36 + 0.7346938773 = -35.2653061227 0.7346938773 + -1.714285714x + x2 = -35.2653061227 Factor a perfect square on the left side: (x + -0.857142857)(x + -0.857142857) = -35.2653061227 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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