(7x-3)(5x+2)=3x+(5x-7)+35x^2

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Solution for (7x-3)(5x+2)=3x+(5x-7)+35x^2 equation: 


Simplifying
(7x + -3)(5x + 2) = 3x + (5x + -7) + 35x2

Reorder the terms:
(-3 + 7x)(5x + 2) = 3x + (5x + -7) + 35x2

Reorder the terms:
(-3 + 7x)(2 + 5x) = 3x + (5x + -7) + 35x2

Multiply (-3 + 7x) * (2 + 5x)
(-3(2 + 5x) + 7x * (2 + 5x)) = 3x + (5x + -7) + 35x2
((2 * -3 + 5x * -3) + 7x * (2 + 5x)) = 3x + (5x + -7) + 35x2
((-6 + -15x) + 7x * (2 + 5x)) = 3x + (5x + -7) + 35x2
(-6 + -15x + (2 * 7x + 5x * 7x)) = 3x + (5x + -7) + 35x2
(-6 + -15x + (14x + 35x2)) = 3x + (5x + -7) + 35x2

Combine like terms: -15x + 14x = -1x
(-6 + -1x + 35x2) = 3x + (5x + -7) + 35x2

Reorder the terms:
-6 + -1x + 35x2 = 3x + (-7 + 5x) + 35x2

Remove parenthesis around (-7 + 5x)
-6 + -1x + 35x2 = 3x + -7 + 5x + 35x2

Reorder the terms:
-6 + -1x + 35x2 = -7 + 3x + 5x + 35x2

Combine like terms: 3x + 5x = 8x
-6 + -1x + 35x2 = -7 + 8x + 35x2

Add '-35x2' to each side of the equation.
-6 + -1x + 35x2 + -35x2 = -7 + 8x + 35x2 + -35x2

Combine like terms: 35x2 + -35x2 = 0
-6 + -1x + 0 = -7 + 8x + 35x2 + -35x2
-6 + -1x = -7 + 8x + 35x2 + -35x2

Combine like terms: 35x2 + -35x2 = 0
-6 + -1x = -7 + 8x + 0
-6 + -1x = -7 + 8x

Solving
-6 + -1x = -7 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-6 + -1x + -8x = -7 + 8x + -8x

Combine like terms: -1x + -8x = -9x
-6 + -9x = -7 + 8x + -8x

Combine like terms: 8x + -8x = 0
-6 + -9x = -7 + 0
-6 + -9x = -7

Add '6' to each side of the equation.
-6 + 6 + -9x = -7 + 6

Combine like terms: -6 + 6 = 0
0 + -9x = -7 + 6
-9x = -7 + 6

Combine like terms: -7 + 6 = -1
-9x = -1

Divide each side by '-9'.
x = 0.1111111111

Simplifying
x = 0.1111111111

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