-15t^2+10t-180=0

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Solution for -15t^2+10t-180=0 equation:


Simplifying
-15t2 + 10t + -180 = 0

Reorder the terms:
-180 + 10t + -15t2 = 0

Solving
-180 + 10t + -15t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-36 + 2t + -3t2) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-36 + 2t + -3t2)' equal to zero and attempt to solve: Simplifying -36 + 2t + -3t2 = 0 Solving -36 + 2t + -3t2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 12 + -0.6666666667t + t2 = 0 Move the constant term to the right: Add '-12' to each side of the equation. 12 + -0.6666666667t + -12 + t2 = 0 + -12 Reorder the terms: 12 + -12 + -0.6666666667t + t2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -0.6666666667t + t2 = 0 + -12 -0.6666666667t + t2 = 0 + -12 Combine like terms: 0 + -12 = -12 -0.6666666667t + t2 = -12 The t term is -0.6666666667t. Take half its coefficient (-0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. -0.6666666667t + 0.1111111112 + t2 = -12 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667t + t2 = -12 + 0.1111111112 Combine like terms: -12 + 0.1111111112 = -11.8888888888 0.1111111112 + -0.6666666667t + t2 = -11.8888888888 Factor a perfect square on the left side: (t + -0.3333333334)(t + -0.3333333334) = -11.8888888888 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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