2x^2+4x-3=67

Solution for 2x^2+4x-3=67 equation:

Simplifying
2x2 + 4x + -3 = 67

Reorder the terms:
-3 + 4x + 2x2 = 67

Solving
-3 + 4x + 2x2 = 67

Solving for variable 'x'.

Reorder the terms:
-3 + -67 + 4x + 2x2 = 67 + -67

Combine like terms: -3 + -67 = -70
-70 + 4x + 2x2 = 67 + -67

Combine like terms: 67 + -67 = 0
-70 + 4x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-35 + 2x + x2) = 0

Factor a trinomial.
2((-7 + -1x)(5 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 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 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7
Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-7, 5}