-x^2+70x+9800=0

Solution for -x^2+70x+9800=0 equation:

Simplifying
-1x2 + 70x + 9800 = 0

Reorder the terms:
9800 + 70x + -1x2 = 0

Solving
9800 + 70x + -1x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(140 + -1x)(70 + x) = 0

Subproblem 1
Set the factor '(140 + -1x)' equal to zero and attempt to solve:

Simplifying
140 + -1x = 0

Solving
140 + -1x = 0

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

Add '-140' to each side of the equation.
140 + -140 + -1x = 0 + -140

Combine like terms: 140 + -140 = 0
0 + -1x = 0 + -140
-1x = 0 + -140

Combine like terms: 0 + -140 = -140
-1x = -140

Divide each side by '-1'.
x = 140

Simplifying
x = 140
Subproblem 2
Set the factor '(70 + x)' equal to zero and attempt to solve:

Simplifying
70 + x = 0

Solving
70 + x = 0

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

Add '-70' to each side of the equation.
70 + -70 + x = 0 + -70

Combine like terms: 70 + -70 = 0
0 + x = 0 + -70
x = 0 + -70

Combine like terms: 0 + -70 = -70
x = -70

Simplifying
x = -70
Solution
x = {140, -70}