(8x+3)(5x+3)-40x^2=594

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Solution for (8x+3)(5x+3)-40x^2=594 equation: 


Simplifying
(8x + 3)(5x + 3) + -40x2 = 594

Reorder the terms:
(3 + 8x)(5x + 3) + -40x2 = 594

Reorder the terms:
(3 + 8x)(3 + 5x) + -40x2 = 594

Multiply (3 + 8x) * (3 + 5x)
(3(3 + 5x) + 8x * (3 + 5x)) + -40x2 = 594
((3 * 3 + 5x * 3) + 8x * (3 + 5x)) + -40x2 = 594
((9 + 15x) + 8x * (3 + 5x)) + -40x2 = 594
(9 + 15x + (3 * 8x + 5x * 8x)) + -40x2 = 594
(9 + 15x + (24x + 40x2)) + -40x2 = 594

Combine like terms: 15x + 24x = 39x
(9 + 39x + 40x2) + -40x2 = 594

Combine like terms: 40x2 + -40x2 = 0
9 + 39x + 0 = 594
9 + 39x = 594

Solving
9 + 39x = 594

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 39x = 594 + -9

Combine like terms: 9 + -9 = 0
0 + 39x = 594 + -9
39x = 594 + -9

Combine like terms: 594 + -9 = 585
39x = 585

Divide each side by '39'.
x = 15

Simplifying
x = 15

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