70=112+89x-16x^2

Solution for 70=112+89x-16x^2 equation:

Simplifying
70 = 112 + 89x + -16x2

Solving
70 = 112 + 89x + -16x2

Solving for variable 'x'.

Combine like terms: 70 + -112 = -42
-42 + -89x + 16x2 = 112 + 89x + -16x2 + -112 + -89x + 16x2

Reorder the terms:
-42 + -89x + 16x2 = 112 + -112 + 89x + -89x + -16x2 + 16x2

Combine like terms: 112 + -112 = 0
-42 + -89x + 16x2 = 0 + 89x + -89x + -16x2 + 16x2
-42 + -89x + 16x2 = 89x + -89x + -16x2 + 16x2

Combine like terms: 89x + -89x = 0
-42 + -89x + 16x2 = 0 + -16x2 + 16x2
-42 + -89x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
-42 + -89x + 16x2 = 0

Factor a trinomial.
(-7 + -16x)(6 + -1x) = 0

Subproblem 1
Set the factor '(-7 + -16x)' equal to zero and attempt to solve:

Simplifying
-7 + -16x = 0

Solving
-7 + -16x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -16x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -16x = 0 + 7
-16x = 0 + 7

Combine like terms: 0 + 7 = 7
-16x = 7

Divide each side by '-16'.
x = -0.4375

Simplifying
x = -0.4375
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-0.4375, 6}