35=.1018x^2+.1023+.0298

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Solution for 35=.1018x^2+.1023+.0298 equation:


Simplifying
35 = 0.1018x2 + 0.1023 + 0.0298

Reorder the terms:
35 = 0.1023 + 0.0298 + 0.1018x2

Combine like terms: 0.1023 + 0.0298 = 0.1321
35 = 0.1321 + 0.1018x2

Solving
35 = 0.1321 + 0.1018x2

Solving for variable 'x'.

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

Add '-0.1018x2' to each side of the equation.
35 + -0.1018x2 = 0.1321 + 0.1018x2 + -0.1018x2

Combine like terms: 0.1018x2 + -0.1018x2 = 0.0000
35 + -0.1018x2 = 0.1321 + 0.0000
35 + -0.1018x2 = 0.1321

Add '-35' to each side of the equation.
35 + -35 + -0.1018x2 = 0.1321 + -35

Combine like terms: 35 + -35 = 0
0 + -0.1018x2 = 0.1321 + -35
-0.1018x2 = 0.1321 + -35

Combine like terms: 0.1321 + -35 = -34.8679
-0.1018x2 = -34.8679

Divide each side by '-0.1018'.
x2 = 342.5137525

Simplifying
x2 = 342.5137525

Take the square root of each side:
x = {-18.507127073, 18.507127073}

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