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Simplifying
4x(x + 3) = 25 + 12x
Reorder the terms:
4x(3 + x) = 25 + 12x
(3 * 4x + x * 4x) = 25 + 12x
(12x + 4x2) = 25 + 12x
Add '-12x' to each side of the equation.
12x + -12x + 4x2 = 25 + 12x + -12x
Combine like terms: 12x + -12x = 0
0 + 4x2 = 25 + 12x + -12x
4x2 = 25 + 12x + -12x
Combine like terms: 12x + -12x = 0
4x2 = 25 + 0
4x2 = 25
Solving
4x2 = 25
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '4'.
x2 = 6.25
Simplifying
x2 = 6.25
Take the square root of each side:
x = {-2.5, 2.5}
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