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Simplifying
2x(2x + 5) = 9 + 10x
Reorder the terms:
2x(5 + 2x) = 9 + 10x
(5 * 2x + 2x * 2x) = 9 + 10x
(10x + 4x2) = 9 + 10x
Add '-10x' to each side of the equation.
10x + -10x + 4x2 = 9 + 10x + -10x
Combine like terms: 10x + -10x = 0
0 + 4x2 = 9 + 10x + -10x
4x2 = 9 + 10x + -10x
Combine like terms: 10x + -10x = 0
4x2 = 9 + 0
4x2 = 9
Solving
4x2 = 9
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '4'.
x2 = 2.25
Simplifying
x2 = 2.25
Take the square root of each side:
x = {-1.5, 1.5}
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