(3x+5)*(5x-7)=3*(5x+3)(x-1)

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Solution for (3x+5)*(5x-7)=3*(5x+3)(x-1) equation: 


Simplifying
(3x + 5)(5x + -7) = 3(5x + 3)(x + -1)

Reorder the terms:
(5 + 3x)(5x + -7) = 3(5x + 3)(x + -1)

Reorder the terms:
(5 + 3x)(-7 + 5x) = 3(5x + 3)(x + -1)

Multiply (5 + 3x) * (-7 + 5x)
(5(-7 + 5x) + 3x * (-7 + 5x)) = 3(5x + 3)(x + -1)
((-7 * 5 + 5x * 5) + 3x * (-7 + 5x)) = 3(5x + 3)(x + -1)
((-35 + 25x) + 3x * (-7 + 5x)) = 3(5x + 3)(x + -1)
(-35 + 25x + (-7 * 3x + 5x * 3x)) = 3(5x + 3)(x + -1)
(-35 + 25x + (-21x + 15x2)) = 3(5x + 3)(x + -1)

Combine like terms: 25x + -21x = 4x
(-35 + 4x + 15x2) = 3(5x + 3)(x + -1)

Reorder the terms:
-35 + 4x + 15x2 = 3(3 + 5x)(x + -1)

Reorder the terms:
-35 + 4x + 15x2 = 3(3 + 5x)(-1 + x)

Multiply (3 + 5x) * (-1 + x)
-35 + 4x + 15x2 = 3(3(-1 + x) + 5x * (-1 + x))
-35 + 4x + 15x2 = 3((-1 * 3 + x * 3) + 5x * (-1 + x))
-35 + 4x + 15x2 = 3((-3 + 3x) + 5x * (-1 + x))
-35 + 4x + 15x2 = 3(-3 + 3x + (-1 * 5x + x * 5x))
-35 + 4x + 15x2 = 3(-3 + 3x + (-5x + 5x2))

Combine like terms: 3x + -5x = -2x
-35 + 4x + 15x2 = 3(-3 + -2x + 5x2)
-35 + 4x + 15x2 = (-3 * 3 + -2x * 3 + 5x2 * 3)
-35 + 4x + 15x2 = (-9 + -6x + 15x2)

Add '-15x2' to each side of the equation.
-35 + 4x + 15x2 + -15x2 = -9 + -6x + 15x2 + -15x2

Combine like terms: 15x2 + -15x2 = 0
-35 + 4x + 0 = -9 + -6x + 15x2 + -15x2
-35 + 4x = -9 + -6x + 15x2 + -15x2

Combine like terms: 15x2 + -15x2 = 0
-35 + 4x = -9 + -6x + 0
-35 + 4x = -9 + -6x

Solving
-35 + 4x = -9 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-35 + 4x + 6x = -9 + -6x + 6x

Combine like terms: 4x + 6x = 10x
-35 + 10x = -9 + -6x + 6x

Combine like terms: -6x + 6x = 0
-35 + 10x = -9 + 0
-35 + 10x = -9

Add '35' to each side of the equation.
-35 + 35 + 10x = -9 + 35

Combine like terms: -35 + 35 = 0
0 + 10x = -9 + 35
10x = -9 + 35

Combine like terms: -9 + 35 = 26
10x = 26

Divide each side by '10'.
x = 2.6

Simplifying
x = 2.6

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