(4x-1)(5x+3)=-3

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Solution for (4x-1)(5x+3)=-3 equation: 


Simplifying
(4x + -1)(5x + 3) = -3

Reorder the terms:
(-1 + 4x)(5x + 3) = -3

Reorder the terms:
(-1 + 4x)(3 + 5x) = -3

Multiply (-1 + 4x) * (3 + 5x)
(-1(3 + 5x) + 4x * (3 + 5x)) = -3
((3 * -1 + 5x * -1) + 4x * (3 + 5x)) = -3
((-3 + -5x) + 4x * (3 + 5x)) = -3
(-3 + -5x + (3 * 4x + 5x * 4x)) = -3
(-3 + -5x + (12x + 20x2)) = -3

Combine like terms: -5x + 12x = 7x
(-3 + 7x + 20x2) = -3

Add '3' to each side of the equation.
-3 + 7x + 3 + 20x2 = -3 + 3

Reorder the terms:
-3 + 3 + 7x + 20x2 = -3 + 3

Combine like terms: -3 + 3 = 0
0 + 7x + 20x2 = -3 + 3
7x + 20x2 = -3 + 3

Combine like terms: -3 + 3 = 0
7x + 20x2 = 0

Solving
7x + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(7 + 20x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(7 + 20x)' equal to zero and attempt to solve:

Simplifying
7 + 20x = 0

Solving
7 + 20x = 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 + 20x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 20x = 0 + -7
20x = 0 + -7

Combine like terms: 0 + -7 = -7
20x = -7

Divide each side by '20'.
x = -0.35

Simplifying
x = -0.35
Solution
x = {0, -0.35}

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