(5x-1)(4x+3)=0

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Solution for (5x-1)(4x+3)=0 equation:


Simplifying
(5x + -1)(4x + 3) = 0

Reorder the terms:
(-1 + 5x)(4x + 3) = 0

Reorder the terms:
(-1 + 5x)(3 + 4x) = 0

Multiply (-1 + 5x) * (3 + 4x)
(-1(3 + 4x) + 5x * (3 + 4x)) = 0
((3 * -1 + 4x * -1) + 5x * (3 + 4x)) = 0
((-3 + -4x) + 5x * (3 + 4x)) = 0
(-3 + -4x + (3 * 5x + 4x * 5x)) = 0
(-3 + -4x + (15x + 20x2)) = 0

Combine like terms: -4x + 15x = 11x
(-3 + 11x + 20x2) = 0

Solving
-3 + 11x + 20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -4x)(1 + -5x) = 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 '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 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 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2

Solution

x = {-0.75, 0.2}

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