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Simplifying
3.4 = -13.4 + (3.4c) * 1.7c
Remove parenthesis around (3.4c)
3.4 = -13.4 + 3.4c * 1.7c
Reorder the terms for easier multiplication:
3.4 = -13.4 + 3.4 * 1.7c * c
Multiply 3.4 * 1.7
3.4 = -13.4 + 5.78c * c
Multiply c * c
3.4 = -13.4 + 5.78c2
Solving
3.4 = -13.4 + 5.78c2
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '-5.78c2' to each side of the equation.
3.4 + -5.78c2 = -13.4 + 5.78c2 + -5.78c2
Combine like terms: 5.78c2 + -5.78c2 = 0.00
3.4 + -5.78c2 = -13.4 + 0.00
3.4 + -5.78c2 = -13.4
Add '-3.4' to each side of the equation.
3.4 + -3.4 + -5.78c2 = -13.4 + -3.4
Combine like terms: 3.4 + -3.4 = 0.0
0.0 + -5.78c2 = -13.4 + -3.4
-5.78c2 = -13.4 + -3.4
Combine like terms: -13.4 + -3.4 = -16.8
-5.78c2 = -16.8
Divide each side by '-5.78'.
c2 = 2.906574394
Simplifying
c2 = 2.906574394
Take the square root of each side:
c = {-1.704867852, 1.704867852}
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