10x^2+56x+98=0

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Solution for 10x^2+56x+98=0 equation:


Simplifying
10x2 + 56x + 98 = 0

Reorder the terms:
98 + 56x + 10x2 = 0

Solving
98 + 56x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(49 + 28x + 5x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(49 + 28x + 5x2)' equal to zero and attempt to solve: Simplifying 49 + 28x + 5x2 = 0 Solving 49 + 28x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 9.8 + 5.6x + x2 = 0 Move the constant term to the right: Add '-9.8' to each side of the equation. 9.8 + 5.6x + -9.8 + x2 = 0 + -9.8 Reorder the terms: 9.8 + -9.8 + 5.6x + x2 = 0 + -9.8 Combine like terms: 9.8 + -9.8 = 0.0 0.0 + 5.6x + x2 = 0 + -9.8 5.6x + x2 = 0 + -9.8 Combine like terms: 0 + -9.8 = -9.8 5.6x + x2 = -9.8 The x term is 5.6x. Take half its coefficient (2.8). Square it (7.84) and add it to both sides. Add '7.84' to each side of the equation. 5.6x + 7.84 + x2 = -9.8 + 7.84 Reorder the terms: 7.84 + 5.6x + x2 = -9.8 + 7.84 Combine like terms: -9.8 + 7.84 = -1.96 7.84 + 5.6x + x2 = -1.96 Factor a perfect square on the left side: (x + 2.8)(x + 2.8) = -1.96 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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