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Simplifying
4x2 + 64 = 9x2 + 1
Reorder the terms:
64 + 4x2 = 9x2 + 1
Reorder the terms:
64 + 4x2 = 1 + 9x2
Solving
64 + 4x2 = 1 + 9x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9x2' to each side of the equation.
64 + 4x2 + -9x2 = 1 + 9x2 + -9x2
Combine like terms: 4x2 + -9x2 = -5x2
64 + -5x2 = 1 + 9x2 + -9x2
Combine like terms: 9x2 + -9x2 = 0
64 + -5x2 = 1 + 0
64 + -5x2 = 1
Add '-64' to each side of the equation.
64 + -64 + -5x2 = 1 + -64
Combine like terms: 64 + -64 = 0
0 + -5x2 = 1 + -64
-5x2 = 1 + -64
Combine like terms: 1 + -64 = -63
-5x2 = -63
Divide each side by '-5'.
x2 = 12.6
Simplifying
x2 = 12.6
Take the square root of each side:
x = {-3.54964787, 3.54964787}
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