2t=4t^2-3t

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Solution for 2t=4t^2-3t equation:


Simplifying
2t = 4t2 + -3t

Reorder the terms:
2t = -3t + 4t2

Solving
2t = -3t + 4t2

Solving for variable 't'.

Combine like terms: 2t + 3t = 5t
5t + -4t2 = -3t + 4t2 + 3t + -4t2

Reorder the terms:
5t + -4t2 = -3t + 3t + 4t2 + -4t2

Combine like terms: -3t + 3t = 0
5t + -4t2 = 0 + 4t2 + -4t2
5t + -4t2 = 4t2 + -4t2

Combine like terms: 4t2 + -4t2 = 0
5t + -4t2 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(5 + -4t) = 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 + -4t)' equal to zero and attempt to solve: Simplifying 5 + -4t = 0 Solving 5 + -4t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4t = 0 + -5 -4t = 0 + -5 Combine like terms: 0 + -5 = -5 -4t = -5 Divide each side by '-4'. t = 1.25 Simplifying t = 1.25

Solution

t = {0, 1.25}

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