-7t^2+9t+10t^3-t^3+14t^2-4t=

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Solution for -7t^2+9t+10t^3-t^3+14t^2-4t= equation:


Simplifying
-7t2 + 9t + 10t3 + -1t3 + 14t2 + -4t = 0

Reorder the terms:
9t + -4t + -7t2 + 14t2 + 10t3 + -1t3 = 0

Combine like terms: 9t + -4t = 5t
5t + -7t2 + 14t2 + 10t3 + -1t3 = 0

Combine like terms: -7t2 + 14t2 = 7t2
5t + 7t2 + 10t3 + -1t3 = 0

Combine like terms: 10t3 + -1t3 = 9t3
5t + 7t2 + 9t3 = 0

Solving
5t + 7t2 + 9t3 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(5 + 7t + 9t2) = 0

Subproblem 1

Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0

Subproblem 2

Set the factor '(5 + 7t + 9t2)' equal to zero and attempt to solve: Simplifying 5 + 7t + 9t2 = 0 Solving 5 + 7t + 9t2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.5555555556 + 0.7777777778t + t2 = 0 Move the constant term to the right: Add '-0.5555555556' to each side of the equation. 0.5555555556 + 0.7777777778t + -0.5555555556 + t2 = 0 + -0.5555555556 Reorder the terms: 0.5555555556 + -0.5555555556 + 0.7777777778t + t2 = 0 + -0.5555555556 Combine like terms: 0.5555555556 + -0.5555555556 = 0.0000000000 0.0000000000 + 0.7777777778t + t2 = 0 + -0.5555555556 0.7777777778t + t2 = 0 + -0.5555555556 Combine like terms: 0 + -0.5555555556 = -0.5555555556 0.7777777778t + t2 = -0.5555555556 The t term is 0.7777777778t. Take half its coefficient (0.3888888889). Square it (0.1512345679) and add it to both sides. Add '0.1512345679' to each side of the equation. 0.7777777778t + 0.1512345679 + t2 = -0.5555555556 + 0.1512345679 Reorder the terms: 0.1512345679 + 0.7777777778t + t2 = -0.5555555556 + 0.1512345679 Combine like terms: -0.5555555556 + 0.1512345679 = -0.4043209877 0.1512345679 + 0.7777777778t + t2 = -0.4043209877 Factor a perfect square on the left side: (t + 0.3888888889)(t + 0.3888888889) = -0.4043209877 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.

Solution

t = {0}

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