14-7t+3(t-2)(t+2)=2(1-t)(1-t)+t(t-3)

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Solution for 14-7t+3(t-2)(t+2)=2(1-t)(1-t)+t(t-3) equation:


Simplifying
14 + -7t + 3(t + -2)(t + 2) = 2(1 + -1t)(1 + -1t) + t(t + -3)

Reorder the terms:
14 + -7t + 3(-2 + t)(t + 2) = 2(1 + -1t)(1 + -1t) + t(t + -3)

Reorder the terms:
14 + -7t + 3(-2 + t)(2 + t) = 2(1 + -1t)(1 + -1t) + t(t + -3)

Multiply (-2 + t) * (2 + t)
14 + -7t + 3(-2(2 + t) + t(2 + t)) = 2(1 + -1t)(1 + -1t) + t(t + -3)
14 + -7t + 3((2 * -2 + t * -2) + t(2 + t)) = 2(1 + -1t)(1 + -1t) + t(t + -3)
14 + -7t + 3((-4 + -2t) + t(2 + t)) = 2(1 + -1t)(1 + -1t) + t(t + -3)
14 + -7t + 3(-4 + -2t + (2 * t + t * t)) = 2(1 + -1t)(1 + -1t) + t(t + -3)
14 + -7t + 3(-4 + -2t + (2t + t2)) = 2(1 + -1t)(1 + -1t) + t(t + -3)

Combine like terms: -2t + 2t = 0
14 + -7t + 3(-4 + 0 + t2) = 2(1 + -1t)(1 + -1t) + t(t + -3)
14 + -7t + 3(-4 + t2) = 2(1 + -1t)(1 + -1t) + t(t + -3)
14 + -7t + (-4 * 3 + t2 * 3) = 2(1 + -1t)(1 + -1t) + t(t + -3)
14 + -7t + (-12 + 3t2) = 2(1 + -1t)(1 + -1t) + t(t + -3)

Reorder the terms:
14 + -12 + -7t + 3t2 = 2(1 + -1t)(1 + -1t) + t(t + -3)

Combine like terms: 14 + -12 = 2
2 + -7t + 3t2 = 2(1 + -1t)(1 + -1t) + t(t + -3)

Multiply (1 + -1t) * (1 + -1t)
2 + -7t + 3t2 = 2(1(1 + -1t) + -1t * (1 + -1t)) + t(t + -3)
2 + -7t + 3t2 = 2((1 * 1 + -1t * 1) + -1t * (1 + -1t)) + t(t + -3)
2 + -7t + 3t2 = 2((1 + -1t) + -1t * (1 + -1t)) + t(t + -3)
2 + -7t + 3t2 = 2(1 + -1t + (1 * -1t + -1t * -1t)) + t(t + -3)
2 + -7t + 3t2 = 2(1 + -1t + (-1t + 1t2)) + t(t + -3)

Combine like terms: -1t + -1t = -2t
2 + -7t + 3t2 = 2(1 + -2t + 1t2) + t(t + -3)
2 + -7t + 3t2 = (1 * 2 + -2t * 2 + 1t2 * 2) + t(t + -3)
2 + -7t + 3t2 = (2 + -4t + 2t2) + t(t + -3)

Reorder the terms:
2 + -7t + 3t2 = 2 + -4t + 2t2 + t(-3 + t)
2 + -7t + 3t2 = 2 + -4t + 2t2 + (-3 * t + t * t)
2 + -7t + 3t2 = 2 + -4t + 2t2 + (-3t + t2)

Reorder the terms:
2 + -7t + 3t2 = 2 + -4t + -3t + 2t2 + t2

Combine like terms: -4t + -3t = -7t
2 + -7t + 3t2 = 2 + -7t + 2t2 + t2

Combine like terms: 2t2 + t2 = 3t2
2 + -7t + 3t2 = 2 + -7t + 3t2

Add '-2' to each side of the equation.
2 + -7t + -2 + 3t2 = 2 + -7t + -2 + 3t2

Reorder the terms:
2 + -2 + -7t + 3t2 = 2 + -7t + -2 + 3t2

Combine like terms: 2 + -2 = 0
0 + -7t + 3t2 = 2 + -7t + -2 + 3t2
-7t + 3t2 = 2 + -7t + -2 + 3t2

Reorder the terms:
-7t + 3t2 = 2 + -2 + -7t + 3t2

Combine like terms: 2 + -2 = 0
-7t + 3t2 = 0 + -7t + 3t2
-7t + 3t2 = -7t + 3t2

Add '7t' to each side of the equation.
-7t + 7t + 3t2 = -7t + 7t + 3t2

Combine like terms: -7t + 7t = 0
0 + 3t2 = -7t + 7t + 3t2
3t2 = -7t + 7t + 3t2

Combine like terms: -7t + 7t = 0
3t2 = 0 + 3t2
3t2 = 3t2

Add '-3t2' to each side of the equation.
3t2 + -3t2 = 3t2 + -3t2

Combine like terms: 3t2 + -3t2 = 0
0 = 3t2 + -3t2

Combine like terms: 3t2 + -3t2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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