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Simplifying
x(5x + 2) = 2x2 + 2x + 4
Reorder the terms:
x(2 + 5x) = 2x2 + 2x + 4
(2 * x + 5x * x) = 2x2 + 2x + 4
(2x + 5x2) = 2x2 + 2x + 4
Reorder the terms:
2x + 5x2 = 4 + 2x + 2x2
Add '-2x' to each side of the equation.
2x + -2x + 5x2 = 4 + 2x + -2x + 2x2
Combine like terms: 2x + -2x = 0
0 + 5x2 = 4 + 2x + -2x + 2x2
5x2 = 4 + 2x + -2x + 2x2
Combine like terms: 2x + -2x = 0
5x2 = 4 + 0 + 2x2
5x2 = 4 + 2x2
Solving
5x2 = 4 + 2x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x2' to each side of the equation.
5x2 + -2x2 = 4 + 2x2 + -2x2
Combine like terms: 5x2 + -2x2 = 3x2
3x2 = 4 + 2x2 + -2x2
Combine like terms: 2x2 + -2x2 = 0
3x2 = 4 + 0
3x2 = 4
Divide each side by '3'.
x2 = 1.333333333
Simplifying
x2 = 1.333333333
Take the square root of each side:
x = {-1.154700538, 1.154700538}
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