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Simplifying
7 * 49 = x * 8x
Multiply 7 * 49
343 = x * 8x
Reorder the terms for easier multiplication:
343 = 8x * x
Multiply x * x
343 = 8x2
Solving
343 = 8x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8x2' to each side of the equation.
343 + -8x2 = 8x2 + -8x2
Combine like terms: 8x2 + -8x2 = 0
343 + -8x2 = 0
Add '-343' to each side of the equation.
343 + -343 + -8x2 = 0 + -343
Combine like terms: 343 + -343 = 0
0 + -8x2 = 0 + -343
-8x2 = 0 + -343
Combine like terms: 0 + -343 = -343
-8x2 = -343
Divide each side by '-8'.
x2 = 42.875
Simplifying
x2 = 42.875
Take the square root of each side:
x = {-6.547900427, 6.547900427}
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