2x^2+7x-14=4x-5

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Solution for 2x^2+7x-14=4x-5 equation: 


Simplifying
2x2 + 7x + -14 = 4x + -5

Reorder the terms:
-14 + 7x + 2x2 = 4x + -5

Reorder the terms:
-14 + 7x + 2x2 = -5 + 4x

Solving
-14 + 7x + 2x2 = -5 + 4x

Solving for variable 'x'.

Reorder the terms:
-14 + 5 + 7x + -4x + 2x2 = -5 + 4x + 5 + -4x

Combine like terms: -14 + 5 = -9
-9 + 7x + -4x + 2x2 = -5 + 4x + 5 + -4x

Combine like terms: 7x + -4x = 3x
-9 + 3x + 2x2 = -5 + 4x + 5 + -4x

Reorder the terms:
-9 + 3x + 2x2 = -5 + 5 + 4x + -4x

Combine like terms: -5 + 5 = 0
-9 + 3x + 2x2 = 0 + 4x + -4x
-9 + 3x + 2x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-9 + 3x + 2x2 = 0

Factor a trinomial.
(-3 + -1x)(3 + -2x) = 0


Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

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

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

Divide each side by '-1'.
x = -3

Simplifying
x = -3

Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {-3, 1.5}

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