2x^2+60x+2000=0

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Solution for 2x^2+60x+2000=0 equation:


Simplifying
2x2 + 60x + 2000 = 0

Reorder the terms:
2000 + 60x + 2x2 = 0

Solving
2000 + 60x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1000 + 30x + x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(1000 + 30x + x2)' equal to zero and attempt to solve: Simplifying 1000 + 30x + x2 = 0 Solving 1000 + 30x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-1000' to each side of the equation. 1000 + 30x + -1000 + x2 = 0 + -1000 Reorder the terms: 1000 + -1000 + 30x + x2 = 0 + -1000 Combine like terms: 1000 + -1000 = 0 0 + 30x + x2 = 0 + -1000 30x + x2 = 0 + -1000 Combine like terms: 0 + -1000 = -1000 30x + x2 = -1000 The x term is 30x. Take half its coefficient (15). Square it (225) and add it to both sides. Add '225' to each side of the equation. 30x + 225 + x2 = -1000 + 225 Reorder the terms: 225 + 30x + x2 = -1000 + 225 Combine like terms: -1000 + 225 = -775 225 + 30x + x2 = -775 Factor a perfect square on the left side: (x + 15)(x + 15) = -775 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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