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Simplifying 49x2 + -784x = -3199 Reorder the terms: -784x + 49x2 = -3199 Solving -784x + 49x2 = -3199 Solving for variable 'x'. Reorder the terms: 3199 + -784x + 49x2 = -3199 + 3199 Combine like terms: -3199 + 3199 = 0 3199 + -784x + 49x2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(457 + -112x + 7x2) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(457 + -112x + 7x2)' equal to zero and attempt to solve: Simplifying 457 + -112x + 7x2 = 0 Solving 457 + -112x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 65.28571429 + -16x + x2 = 0 Move the constant term to the right: Add '-65.28571429' to each side of the equation. 65.28571429 + -16x + -65.28571429 + x2 = 0 + -65.28571429 Reorder the terms: 65.28571429 + -65.28571429 + -16x + x2 = 0 + -65.28571429 Combine like terms: 65.28571429 + -65.28571429 = 0.00000000 0.00000000 + -16x + x2 = 0 + -65.28571429 -16x + x2 = 0 + -65.28571429 Combine like terms: 0 + -65.28571429 = -65.28571429 -16x + x2 = -65.28571429 The x term is -16x. Take half its coefficient (-8). Square it (64) and add it to both sides. Add '64' to each side of the equation. -16x + 64 + x2 = -65.28571429 + 64 Reorder the terms: 64 + -16x + x2 = -65.28571429 + 64 Combine like terms: -65.28571429 + 64 = -1.28571429 64 + -16x + x2 = -1.28571429 Factor a perfect square on the left side: (x + -8)(x + -8) = -1.28571429 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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