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Simplifying
2x * 4x + 5 = 34
Reorder the terms for easier multiplication:
2 * 4x * x + 5 = 34
Multiply 2 * 4
8x * x + 5 = 34
Multiply x * x
8x2 + 5 = 34
Reorder the terms:
5 + 8x2 = 34
Solving
5 + 8x2 = 34
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5' to each side of the equation.
5 + -5 + 8x2 = 34 + -5
Combine like terms: 5 + -5 = 0
0 + 8x2 = 34 + -5
8x2 = 34 + -5
Combine like terms: 34 + -5 = 29
8x2 = 29
Divide each side by '8'.
x2 = 3.625
Simplifying
x2 = 3.625
Take the square root of each side:
x = {-1.903943276, 1.903943276}
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