4*x^2-25*x+36=4*(x-4)*(x-a)

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Solution for 4*x^2-25*x+36=4*(x-4)*(x-a) equation: 


Simplifying
4x2 + -25x + 36 = 4(x + -4)(x + -1a)

Reorder the terms:
36 + -25x + 4x2 = 4(x + -4)(x + -1a)

Reorder the terms:
36 + -25x + 4x2 = 4(-4 + x)(x + -1a)

Reorder the terms:
36 + -25x + 4x2 = 4(-4 + x)(-1a + x)

Multiply (-4 + x) * (-1a + x)
36 + -25x + 4x2 = 4(-4(-1a + x) + x(-1a + x))
36 + -25x + 4x2 = 4((-1a * -4 + x * -4) + x(-1a + x))
36 + -25x + 4x2 = 4((4a + -4x) + x(-1a + x))
36 + -25x + 4x2 = 4(4a + -4x + (-1a * x + x * x))
36 + -25x + 4x2 = 4(4a + -4x + (-1ax + x2))

Reorder the terms:
36 + -25x + 4x2 = 4(4a + -1ax + -4x + x2)
36 + -25x + 4x2 = 4(4a + -1ax + -4x + x2)
36 + -25x + 4x2 = (4a * 4 + -1ax * 4 + -4x * 4 + x2 * 4)
36 + -25x + 4x2 = (16a + -4ax + -16x + 4x2)

Add '-4x2' to each side of the equation.
36 + -25x + 4x2 + -4x2 = 16a + -4ax + -16x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
36 + -25x + 0 = 16a + -4ax + -16x + 4x2 + -4x2
36 + -25x = 16a + -4ax + -16x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
36 + -25x = 16a + -4ax + -16x + 0
36 + -25x = 16a + -4ax + -16x

Solving
36 + -25x = 16a + -4ax + -16x

Solving for variable 'x'.

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

Add '4ax' to each side of the equation.
36 + 4ax + -25x = 16a + -4ax + 4ax + -16x

Combine like terms: -4ax + 4ax = 0
36 + 4ax + -25x = 16a + 0 + -16x
36 + 4ax + -25x = 16a + -16x

Add '16x' to each side of the equation.
36 + 4ax + -25x + 16x = 16a + -16x + 16x

Combine like terms: -25x + 16x = -9x
36 + 4ax + -9x = 16a + -16x + 16x

Combine like terms: -16x + 16x = 0
36 + 4ax + -9x = 16a + 0
36 + 4ax + -9x = 16a

Add '-36' to each side of the equation.
36 + 4ax + -36 + -9x = -36 + 16a

Reorder the terms:
36 + -36 + 4ax + -9x = -36 + 16a

Combine like terms: 36 + -36 = 0
0 + 4ax + -9x = -36 + 16a
4ax + -9x = -36 + 16a

Reorder the terms:
36 + -16a + 4ax + -9x = -36 + 16a + 36 + -16a

Reorder the terms:
36 + -16a + 4ax + -9x = -36 + 36 + 16a + -16a

Combine like terms: -36 + 36 = 0
36 + -16a + 4ax + -9x = 0 + 16a + -16a
36 + -16a + 4ax + -9x = 16a + -16a

Combine like terms: 16a + -16a = 0
36 + -16a + 4ax + -9x = 0

The solution to this equation could not be determined.

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