(3t-7)(9t+9)=(9t-7)(3t+7)

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Solution for (3t-7)(9t+9)=(9t-7)(3t+7) equation:


Simplifying
(3t + -7)(9t + 9) = (9t + -7)(3t + 7)

Reorder the terms:
(-7 + 3t)(9t + 9) = (9t + -7)(3t + 7)

Reorder the terms:
(-7 + 3t)(9 + 9t) = (9t + -7)(3t + 7)

Multiply (-7 + 3t) * (9 + 9t)
(-7(9 + 9t) + 3t * (9 + 9t)) = (9t + -7)(3t + 7)
((9 * -7 + 9t * -7) + 3t * (9 + 9t)) = (9t + -7)(3t + 7)
((-63 + -63t) + 3t * (9 + 9t)) = (9t + -7)(3t + 7)
(-63 + -63t + (9 * 3t + 9t * 3t)) = (9t + -7)(3t + 7)
(-63 + -63t + (27t + 27t2)) = (9t + -7)(3t + 7)

Combine like terms: -63t + 27t = -36t
(-63 + -36t + 27t2) = (9t + -7)(3t + 7)

Reorder the terms:
-63 + -36t + 27t2 = (-7 + 9t)(3t + 7)

Reorder the terms:
-63 + -36t + 27t2 = (-7 + 9t)(7 + 3t)

Multiply (-7 + 9t) * (7 + 3t)
-63 + -36t + 27t2 = (-7(7 + 3t) + 9t * (7 + 3t))
-63 + -36t + 27t2 = ((7 * -7 + 3t * -7) + 9t * (7 + 3t))
-63 + -36t + 27t2 = ((-49 + -21t) + 9t * (7 + 3t))
-63 + -36t + 27t2 = (-49 + -21t + (7 * 9t + 3t * 9t))
-63 + -36t + 27t2 = (-49 + -21t + (63t + 27t2))

Combine like terms: -21t + 63t = 42t
-63 + -36t + 27t2 = (-49 + 42t + 27t2)

Add '-27t2' to each side of the equation.
-63 + -36t + 27t2 + -27t2 = -49 + 42t + 27t2 + -27t2

Combine like terms: 27t2 + -27t2 = 0
-63 + -36t + 0 = -49 + 42t + 27t2 + -27t2
-63 + -36t = -49 + 42t + 27t2 + -27t2

Combine like terms: 27t2 + -27t2 = 0
-63 + -36t = -49 + 42t + 0
-63 + -36t = -49 + 42t

Solving
-63 + -36t = -49 + 42t

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-42t' to each side of the equation.
-63 + -36t + -42t = -49 + 42t + -42t

Combine like terms: -36t + -42t = -78t
-63 + -78t = -49 + 42t + -42t

Combine like terms: 42t + -42t = 0
-63 + -78t = -49 + 0
-63 + -78t = -49

Add '63' to each side of the equation.
-63 + 63 + -78t = -49 + 63

Combine like terms: -63 + 63 = 0
0 + -78t = -49 + 63
-78t = -49 + 63

Combine like terms: -49 + 63 = 14
-78t = 14

Divide each side by '-78'.
t = -0.1794871795

Simplifying
t = -0.1794871795

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