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Simplifying
68x2 + 8 = 4x2 + 19
Reorder the terms:
8 + 68x2 = 4x2 + 19
Reorder the terms:
8 + 68x2 = 19 + 4x2
Solving
8 + 68x2 = 19 + 4x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x2' to each side of the equation.
8 + 68x2 + -4x2 = 19 + 4x2 + -4x2
Combine like terms: 68x2 + -4x2 = 64x2
8 + 64x2 = 19 + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
8 + 64x2 = 19 + 0
8 + 64x2 = 19
Add '-8' to each side of the equation.
8 + -8 + 64x2 = 19 + -8
Combine like terms: 8 + -8 = 0
0 + 64x2 = 19 + -8
64x2 = 19 + -8
Combine like terms: 19 + -8 = 11
64x2 = 11
Divide each side by '64'.
x2 = 0.171875
Simplifying
x2 = 0.171875
Take the square root of each side:
x = {-0.414578099, 0.414578099}
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