2t^2-14t+3=3

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Solution for 2t^2-14t+3=3 equation:


Simplifying
2t2 + -14t + 3 = 3

Reorder the terms:
3 + -14t + 2t2 = 3

Add '-3' to each side of the equation.
3 + -14t + -3 + 2t2 = 3 + -3

Reorder the terms:
3 + -3 + -14t + 2t2 = 3 + -3

Combine like terms: 3 + -3 = 0
0 + -14t + 2t2 = 3 + -3
-14t + 2t2 = 3 + -3

Combine like terms: 3 + -3 = 0
-14t + 2t2 = 0

Solving
-14t + 2t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2t'.
2t(-7 + t) = 0

Ignore the factor 2.

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 '(-7 + t)' equal to zero and attempt to solve: Simplifying -7 + t = 0 Solving -7 + t = 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 + t = 0 + 7 Combine like terms: -7 + 7 = 0 0 + t = 0 + 7 t = 0 + 7 Combine like terms: 0 + 7 = 7 t = 7 Simplifying t = 7

Solution

t = {0, 7}

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