5Q^2+1000Q+250000=0

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Solution for 5Q^2+1000Q+250000=0 equation:


Simplifying
5Q2 + 1000Q + 250000 = 0

Reorder the terms:
250000 + 1000Q + 5Q2 = 0

Solving
250000 + 1000Q + 5Q2 = 0

Solving for variable 'Q'.

Factor out the Greatest Common Factor (GCF), '5'.
5(50000 + 200Q + Q2) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(50000 + 200Q + Q2)' equal to zero and attempt to solve: Simplifying 50000 + 200Q + Q2 = 0 Solving 50000 + 200Q + Q2 = 0 Begin completing the square. Move the constant term to the right: Add '-50000' to each side of the equation. 50000 + 200Q + -50000 + Q2 = 0 + -50000 Reorder the terms: 50000 + -50000 + 200Q + Q2 = 0 + -50000 Combine like terms: 50000 + -50000 = 0 0 + 200Q + Q2 = 0 + -50000 200Q + Q2 = 0 + -50000 Combine like terms: 0 + -50000 = -50000 200Q + Q2 = -50000 The Q term is 200Q. Take half its coefficient (100). Square it (10000) and add it to both sides. Add '10000' to each side of the equation. 200Q + 10000 + Q2 = -50000 + 10000 Reorder the terms: 10000 + 200Q + Q2 = -50000 + 10000 Combine like terms: -50000 + 10000 = -40000 10000 + 200Q + Q2 = -40000 Factor a perfect square on the left side: (Q + 100)(Q + 100) = -40000 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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