0=-32x^2+89+343

Solution for 0=-32x^2+89+343 equation:

Simplifying
0 = -32x2 + 89 + 343

Reorder the terms:
0 = 89 + 343 + -32x2

Combine like terms: 89 + 343 = 432
0 = 432 + -32x2

Solving
0 = 432 + -32x2

Solving for variable 'x'.

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

Add '32x2' to each side of the equation.
0 + 32x2 = 432 + -32x2 + 32x2
Remove the zero:
32x2 = 432 + -32x2 + 32x2

Combine like terms: -32x2 + 32x2 = 0
32x2 = 432 + 0
32x2 = 432

Divide each side by '32'.
x2 = 13.5

Simplifying
x2 = 13.5

Take the square root of each side:
x = {-3.674234614, 3.674234614}