15x^2+12x+9=

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Solution for 15x^2+12x+9= equation:


Simplifying
15x2 + 12x + 9 = 0

Reorder the terms:
9 + 12x + 15x2 = 0

Solving
9 + 12x + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(3 + 4x + 5x2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(3 + 4x + 5x2)' equal to zero and attempt to solve: Simplifying 3 + 4x + 5x2 = 0 Solving 3 + 4x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.6 + 0.8x + x2 = 0 Move the constant term to the right: Add '-0.6' to each side of the equation. 0.6 + 0.8x + -0.6 + x2 = 0 + -0.6 Reorder the terms: 0.6 + -0.6 + 0.8x + x2 = 0 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.8x + x2 = 0 + -0.6 0.8x + x2 = 0 + -0.6 Combine like terms: 0 + -0.6 = -0.6 0.8x + x2 = -0.6 The x term is 0.8x. Take half its coefficient (0.4). Square it (0.16) and add it to both sides. Add '0.16' to each side of the equation. 0.8x + 0.16 + x2 = -0.6 + 0.16 Reorder the terms: 0.16 + 0.8x + x2 = -0.6 + 0.16 Combine like terms: -0.6 + 0.16 = -0.44 0.16 + 0.8x + x2 = -0.44 Factor a perfect square on the left side: (x + 0.4)(x + 0.4) = -0.44 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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