237=1.55x^2-5.1+197

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Solution for 237=1.55x^2-5.1+197 equation:


Simplifying
237 = 1.55x2 + -5.1 + 197

Reorder the terms:
237 = -5.1 + 197 + 1.55x2

Combine like terms: -5.1 + 197 = 191.9
237 = 191.9 + 1.55x2

Solving
237 = 191.9 + 1.55x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1.55x2' to each side of the equation.
237 + -1.55x2 = 191.9 + 1.55x2 + -1.55x2

Combine like terms: 1.55x2 + -1.55x2 = 0.00
237 + -1.55x2 = 191.9 + 0.00
237 + -1.55x2 = 191.9

Add '-237' to each side of the equation.
237 + -237 + -1.55x2 = 191.9 + -237

Combine like terms: 237 + -237 = 0
0 + -1.55x2 = 191.9 + -237
-1.55x2 = 191.9 + -237

Combine like terms: 191.9 + -237 = -45.1
-1.55x2 = -45.1

Divide each side by '-1.55'.
x2 = 29.09677419

Simplifying
x2 = 29.09677419

Take the square root of each side:
x = {-5.394142582, 5.394142582}

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