4t^2-25t=21

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Solution for 4t^2-25t=21 equation:


Simplifying
4t2 + -25t = 21

Reorder the terms:
-25t + 4t2 = 21

Solving
-25t + 4t2 = 21

Solving for variable 't'.

Reorder the terms:
-21 + -25t + 4t2 = 21 + -21

Combine like terms: 21 + -21 = 0
-21 + -25t + 4t2 = 0

Factor a trinomial.
(-3 + -4t)(7 + -1t) = 0

Subproblem 1

Set the factor '(-3 + -4t)' equal to zero and attempt to solve: Simplifying -3 + -4t = 0 Solving -3 + -4t = 0 Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4t = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4t = 0 + 3 -4t = 0 + 3 Combine like terms: 0 + 3 = 3 -4t = 3 Divide each side by '-4'. t = -0.75 Simplifying t = -0.75

Subproblem 2

Set the factor '(7 + -1t)' equal to zero and attempt to solve: Simplifying 7 + -1t = 0 Solving 7 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1t = 0 + -7 -1t = 0 + -7 Combine like terms: 0 + -7 = -7 -1t = -7 Divide each side by '-1'. t = 7 Simplifying t = 7

Solution

t = {-0.75, 7}

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