125x^2+75x+45=0

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Solution for 125x^2+75x+45=0 equation:


Simplifying
125x2 + 75x + 45 = 0

Reorder the terms:
45 + 75x + 125x2 = 0

Solving
45 + 75x + 125x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(9 + 15x + 25x2) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(9 + 15x + 25x2)' equal to zero and attempt to solve: Simplifying 9 + 15x + 25x2 = 0 Solving 9 + 15x + 25x2 = 0 Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 0.36 + 0.6x + x2 = 0 Move the constant term to the right: Add '-0.36' to each side of the equation. 0.36 + 0.6x + -0.36 + x2 = 0 + -0.36 Reorder the terms: 0.36 + -0.36 + 0.6x + x2 = 0 + -0.36 Combine like terms: 0.36 + -0.36 = 0.00 0.00 + 0.6x + x2 = 0 + -0.36 0.6x + x2 = 0 + -0.36 Combine like terms: 0 + -0.36 = -0.36 0.6x + x2 = -0.36 The x term is 0.6x. Take half its coefficient (0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. 0.6x + 0.09 + x2 = -0.36 + 0.09 Reorder the terms: 0.09 + 0.6x + x2 = -0.36 + 0.09 Combine like terms: -0.36 + 0.09 = -0.27 0.09 + 0.6x + x2 = -0.27 Factor a perfect square on the left side: (x + 0.3)(x + 0.3) = -0.27 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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