4x^2-5x-6=(4x+3)

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Solution for 4x^2-5x-6=(4x+3) equation: 


Simplifying
4x2 + -5x + -6 = (4x + 3)

Reorder the terms:
-6 + -5x + 4x2 = (4x + 3)

Reorder the terms:
-6 + -5x + 4x2 = (3 + 4x)

Remove parenthesis around (3 + 4x)
-6 + -5x + 4x2 = 3 + 4x

Solving
-6 + -5x + 4x2 = 3 + 4x

Solving for variable 'x'.

Reorder the terms:
-6 + -3 + -5x + -4x + 4x2 = 3 + 4x + -3 + -4x

Combine like terms: -6 + -3 = -9
-9 + -5x + -4x + 4x2 = 3 + 4x + -3 + -4x

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

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

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

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

Factor a trinomial.
(-3 + -4x)(3 + -1x) = 0


Subproblem 1
Set the factor '(-3 + -4x)' equal to zero and attempt to solve:

Simplifying
-3 + -4x = 0

Solving
-3 + -4x = 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 + -4x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4x = 0 + 3
-4x = 0 + 3

Combine like terms: 0 + 3 = 3
-4x = 3

Divide each side by '-4'.
x = -0.75

Simplifying
x = -0.75

Subproblem 2
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
Solution
x = {-0.75, 3}

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