x(4x-11)=(x+t)(x-3)

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Solution for x(4x-11)=(x+t)(x-3) equation: 


Simplifying
x(4x + -11) = (x + t)(x + -3)

Reorder the terms:
x(-11 + 4x) = (x + t)(x + -3)
(-11 * x + 4x * x) = (x + t)(x + -3)
(-11x + 4x2) = (x + t)(x + -3)

Reorder the terms:
-11x + 4x2 = (t + x)(x + -3)

Reorder the terms:
-11x + 4x2 = (t + x)(-3 + x)

Multiply (t + x) * (-3 + x)
-11x + 4x2 = (t(-3 + x) + x(-3 + x))
-11x + 4x2 = ((-3 * t + x * t) + x(-3 + x))
-11x + 4x2 = ((-3t + tx) + x(-3 + x))
-11x + 4x2 = (-3t + tx + (-3 * x + x * x))
-11x + 4x2 = (-3t + tx + (-3x + x2))
-11x + 4x2 = (-3t + tx + -3x + x2)

Solving
-11x + 4x2 = -3t + tx + -3x + x2

Solving for variable 'x'.

Reorder the terms:
3t + -1tx + -11x + 3x + 4x2 + -1x2 = -3t + tx + -3x + x2 + 3t + -1tx + 3x + -1x2

Combine like terms: -11x + 3x = -8x
3t + -1tx + -8x + 4x2 + -1x2 = -3t + tx + -3x + x2 + 3t + -1tx + 3x + -1x2

Combine like terms: 4x2 + -1x2 = 3x2
3t + -1tx + -8x + 3x2 = -3t + tx + -3x + x2 + 3t + -1tx + 3x + -1x2

Reorder the terms:
3t + -1tx + -8x + 3x2 = -3t + 3t + tx + -1tx + -3x + 3x + x2 + -1x2

Combine like terms: -3t + 3t = 0
3t + -1tx + -8x + 3x2 = 0 + tx + -1tx + -3x + 3x + x2 + -1x2
3t + -1tx + -8x + 3x2 = tx + -1tx + -3x + 3x + x2 + -1x2

Combine like terms: tx + -1tx = 0
3t + -1tx + -8x + 3x2 = 0 + -3x + 3x + x2 + -1x2
3t + -1tx + -8x + 3x2 = -3x + 3x + x2 + -1x2

Combine like terms: -3x + 3x = 0
3t + -1tx + -8x + 3x2 = 0 + x2 + -1x2
3t + -1tx + -8x + 3x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
3t + -1tx + -8x + 3x2 = 0

The solution to this equation could not be determined.

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