70=(x-3)(x)

Solution for 70=(x-3)(x) equation:

Simplifying
70 = (x + -3)(x)

Reorder the terms:
70 = (-3 + x)(x)

Reorder the terms for easier multiplication:
70 = x(-3 + x)
70 = (-3 * x + x * x)
70 = (-3x + x2)

Solving
70 = -3x + x2

Solving for variable 'x'.

Reorder the terms:
70 + 3x + -1x2 = -3x + 3x + x2 + -1x2

Combine like terms: -3x + 3x = 0
70 + 3x + -1x2 = 0 + x2 + -1x2
70 + 3x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
70 + 3x + -1x2 = 0

Factor a trinomial.
(10 + -1x)(7 + x) = 0

Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 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 + x = 0 + -7

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

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

Simplifying
x = -7
Solution
x = {10, -7}