3x(x+7)+5x(x-2)=11x+60

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Solution for 3x(x+7)+5x(x-2)=11x+60 equation: 


Simplifying
3x(x + 7) + 5x(x + -2) = 11x + 60

Reorder the terms:
3x(7 + x) + 5x(x + -2) = 11x + 60
(7 * 3x + x * 3x) + 5x(x + -2) = 11x + 60
(21x + 3x2) + 5x(x + -2) = 11x + 60

Reorder the terms:
21x + 3x2 + 5x(-2 + x) = 11x + 60
21x + 3x2 + (-2 * 5x + x * 5x) = 11x + 60
21x + 3x2 + (-10x + 5x2) = 11x + 60

Reorder the terms:
21x + -10x + 3x2 + 5x2 = 11x + 60

Combine like terms: 21x + -10x = 11x
11x + 3x2 + 5x2 = 11x + 60

Combine like terms: 3x2 + 5x2 = 8x2
11x + 8x2 = 11x + 60

Reorder the terms:
11x + 8x2 = 60 + 11x

Add '-11x' to each side of the equation.
11x + -11x + 8x2 = 60 + 11x + -11x

Combine like terms: 11x + -11x = 0
0 + 8x2 = 60 + 11x + -11x
8x2 = 60 + 11x + -11x

Combine like terms: 11x + -11x = 0
8x2 = 60 + 0
8x2 = 60

Solving
8x2 = 60

Solving for variable 'x'.

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

Divide each side by '8'.
x2 = 7.5

Simplifying
x2 = 7.5

Take the square root of each side:
x = {-2.738612788, 2.738612788}

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