3h^2+12h+153=0

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Solution for 3h^2+12h+153=0 equation:


Simplifying
3h2 + 12h + 153 = 0

Reorder the terms:
153 + 12h + 3h2 = 0

Solving
153 + 12h + 3h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '3'.
3(51 + 4h + h2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(51 + 4h + h2)' equal to zero and attempt to solve: Simplifying 51 + 4h + h2 = 0 Solving 51 + 4h + h2 = 0 Begin completing the square. Move the constant term to the right: Add '-51' to each side of the equation. 51 + 4h + -51 + h2 = 0 + -51 Reorder the terms: 51 + -51 + 4h + h2 = 0 + -51 Combine like terms: 51 + -51 = 0 0 + 4h + h2 = 0 + -51 4h + h2 = 0 + -51 Combine like terms: 0 + -51 = -51 4h + h2 = -51 The h term is 4h. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4h + 4 + h2 = -51 + 4 Reorder the terms: 4 + 4h + h2 = -51 + 4 Combine like terms: -51 + 4 = -47 4 + 4h + h2 = -47 Factor a perfect square on the left side: (h + 2)(h + 2) = -47 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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