(4x+1)(x-3)=35

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Solution for (4x+1)(x-3)=35 equation: 


Simplifying
(4x + 1)(x + -3) = 35

Reorder the terms:
(1 + 4x)(x + -3) = 35

Reorder the terms:
(1 + 4x)(-3 + x) = 35

Multiply (1 + 4x) * (-3 + x)
(1(-3 + x) + 4x * (-3 + x)) = 35
((-3 * 1 + x * 1) + 4x * (-3 + x)) = 35
((-3 + 1x) + 4x * (-3 + x)) = 35
(-3 + 1x + (-3 * 4x + x * 4x)) = 35
(-3 + 1x + (-12x + 4x2)) = 35

Combine like terms: 1x + -12x = -11x
(-3 + -11x + 4x2) = 35

Solving
-3 + -11x + 4x2 = 35

Solving for variable 'x'.

Reorder the terms:
-3 + -35 + -11x + 4x2 = 35 + -35

Combine like terms: -3 + -35 = -38
-38 + -11x + 4x2 = 35 + -35

Combine like terms: 35 + -35 = 0
-38 + -11x + 4x2 = 0

Factor a trinomial.
(-2 + -1x)(19 + -4x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(19 + -4x)' equal to zero and attempt to solve:

Simplifying
19 + -4x = 0

Solving
19 + -4x = 0

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

Add '-19' to each side of the equation.
19 + -19 + -4x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -4x = 0 + -19
-4x = 0 + -19

Combine like terms: 0 + -19 = -19
-4x = -19

Divide each side by '-4'.
x = 4.75

Simplifying
x = 4.75
Solution
x = {-2, 4.75}

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