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Simplifying
2x + 5x(x + 2) = 12x + 7
Reorder the terms:
2x + 5x(2 + x) = 12x + 7
2x + (2 * 5x + x * 5x) = 12x + 7
2x + (10x + 5x2) = 12x + 7
Combine like terms: 2x + 10x = 12x
12x + 5x2 = 12x + 7
Reorder the terms:
12x + 5x2 = 7 + 12x
Add '-12x' to each side of the equation.
12x + -12x + 5x2 = 7 + 12x + -12x
Combine like terms: 12x + -12x = 0
0 + 5x2 = 7 + 12x + -12x
5x2 = 7 + 12x + -12x
Combine like terms: 12x + -12x = 0
5x2 = 7 + 0
5x2 = 7
Solving
5x2 = 7
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '5'.
x2 = 1.4
Simplifying
x2 = 1.4
Take the square root of each side:
x = {-1.183215957, 1.183215957}
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