7x^2-10x-3=5

Solution for 7x^2-10x-3=5 equation:

Simplifying
7x2 + -10x + -3 = 5

Reorder the terms:
-3 + -10x + 7x2 = 5

Solving
-3 + -10x + 7x2 = 5

Solving for variable 'x'.

Reorder the terms:
-3 + -5 + -10x + 7x2 = 5 + -5

Combine like terms: -3 + -5 = -8
-8 + -10x + 7x2 = 5 + -5

Combine like terms: 5 + -5 = 0
-8 + -10x + 7x2 = 0

Factor a trinomial.
(-4 + -7x)(2 + -1x) = 0

Subproblem 1
Set the factor '(-4 + -7x)' equal to zero and attempt to solve:

Simplifying
-4 + -7x = 0

Solving
-4 + -7x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -7x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -7x = 0 + 4
-7x = 0 + 4

Combine like terms: 0 + 4 = 4
-7x = 4

Divide each side by '-7'.
x = -0.5714285714

Simplifying
x = -0.5714285714
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-0.5714285714, 2}