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Simplifying
(2x + -3)(4x + 9) = 6x + 261
Reorder the terms:
(-3 + 2x)(4x + 9) = 6x + 261
Reorder the terms:
(-3 + 2x)(9 + 4x) = 6x + 261
Multiply (-3 + 2x) * (9 + 4x)
(-3(9 + 4x) + 2x * (9 + 4x)) = 6x + 261
((9 * -3 + 4x * -3) + 2x * (9 + 4x)) = 6x + 261
((-27 + -12x) + 2x * (9 + 4x)) = 6x + 261
(-27 + -12x + (9 * 2x + 4x * 2x)) = 6x + 261
(-27 + -12x + (18x + 8x2)) = 6x + 261
Combine like terms: -12x + 18x = 6x
(-27 + 6x + 8x2) = 6x + 261
Reorder the terms:
-27 + 6x + 8x2 = 261 + 6x
Add '-6x' to each side of the equation.
-27 + 6x + -6x + 8x2 = 261 + 6x + -6x
Combine like terms: 6x + -6x = 0
-27 + 0 + 8x2 = 261 + 6x + -6x
-27 + 8x2 = 261 + 6x + -6x
Combine like terms: 6x + -6x = 0
-27 + 8x2 = 261 + 0
-27 + 8x2 = 261
Solving
-27 + 8x2 = 261
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '27' to each side of the equation.
-27 + 27 + 8x2 = 261 + 27
Combine like terms: -27 + 27 = 0
0 + 8x2 = 261 + 27
8x2 = 261 + 27
Combine like terms: 261 + 27 = 288
8x2 = 288
Divide each side by '8'.
x2 = 36
Simplifying
x2 = 36
Take the square root of each side:
x = {-6, 6}
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