25x^2+150x+5625=0

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Solution for 25x^2+150x+5625=0 equation:


Simplifying
25x2 + 150x + 5625 = 0

Reorder the terms:
5625 + 150x + 25x2 = 0

Solving
5625 + 150x + 25x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '25'.
25(225 + 6x + x2) = 0

Ignore the factor 25.

Subproblem 1

Set the factor '(225 + 6x + x2)' equal to zero and attempt to solve: Simplifying 225 + 6x + x2 = 0 Solving 225 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-225' to each side of the equation. 225 + 6x + -225 + x2 = 0 + -225 Reorder the terms: 225 + -225 + 6x + x2 = 0 + -225 Combine like terms: 225 + -225 = 0 0 + 6x + x2 = 0 + -225 6x + x2 = 0 + -225 Combine like terms: 0 + -225 = -225 6x + x2 = -225 The x term is 6x. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6x + 9 + x2 = -225 + 9 Reorder the terms: 9 + 6x + x2 = -225 + 9 Combine like terms: -225 + 9 = -216 9 + 6x + x2 = -216 Factor a perfect square on the left side: (x + 3)(x + 3) = -216 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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