72x^2+16x+40=

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Solution for 72x^2+16x+40= equation:


Simplifying
72x2 + 16x + 40 = 0

Reorder the terms:
40 + 16x + 72x2 = 0

Solving
40 + 16x + 72x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(5 + 2x + 9x2) = 0

Ignore the factor 8.

Subproblem 1

Set the factor '(5 + 2x + 9x2)' equal to zero and attempt to solve: Simplifying 5 + 2x + 9x2 = 0 Solving 5 + 2x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.5555555556 + 0.2222222222x + x2 = 0 Move the constant term to the right: Add '-0.5555555556' to each side of the equation. 0.5555555556 + 0.2222222222x + -0.5555555556 + x2 = 0 + -0.5555555556 Reorder the terms: 0.5555555556 + -0.5555555556 + 0.2222222222x + x2 = 0 + -0.5555555556 Combine like terms: 0.5555555556 + -0.5555555556 = 0.0000000000 0.0000000000 + 0.2222222222x + x2 = 0 + -0.5555555556 0.2222222222x + x2 = 0 + -0.5555555556 Combine like terms: 0 + -0.5555555556 = -0.5555555556 0.2222222222x + x2 = -0.5555555556 The x term is 0.2222222222x. Take half its coefficient (0.1111111111). Square it (0.01234567901) and add it to both sides. Add '0.01234567901' to each side of the equation. 0.2222222222x + 0.01234567901 + x2 = -0.5555555556 + 0.01234567901 Reorder the terms: 0.01234567901 + 0.2222222222x + x2 = -0.5555555556 + 0.01234567901 Combine like terms: -0.5555555556 + 0.01234567901 = -0.54320987659 0.01234567901 + 0.2222222222x + x2 = -0.54320987659 Factor a perfect square on the left side: (x + 0.1111111111)(x + 0.1111111111) = -0.54320987659 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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