(-4x-1)(3x-1)=0

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Solution for (-4x-1)(3x-1)=0 equation:


Simplifying
(-4x + -1)(3x + -1) = 0

Reorder the terms:
(-1 + -4x)(3x + -1) = 0

Reorder the terms:
(-1 + -4x)(-1 + 3x) = 0

Multiply (-1 + -4x) * (-1 + 3x)
(-1(-1 + 3x) + -4x * (-1 + 3x)) = 0
((-1 * -1 + 3x * -1) + -4x * (-1 + 3x)) = 0
((1 + -3x) + -4x * (-1 + 3x)) = 0
(1 + -3x + (-1 * -4x + 3x * -4x)) = 0
(1 + -3x + (4x + -12x2)) = 0

Combine like terms: -3x + 4x = 1x
(1 + 1x + -12x2) = 0

Solving
1 + 1x + -12x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333

Subproblem 2

Set the factor '(1 + 4x)' equal to zero and attempt to solve: Simplifying 1 + 4x = 0 Solving 1 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 0 + -1 4x = 0 + -1 Combine like terms: 0 + -1 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25

Solution

x = {0.3333333333, -0.25}

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