(5x-1)(4x+7)=0

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Solution for (5x-1)(4x+7)=0 equation:


Simplifying
(5x + -1)(4x + 7) = 0

Reorder the terms:
(-1 + 5x)(4x + 7) = 0

Reorder the terms:
(-1 + 5x)(7 + 4x) = 0

Multiply (-1 + 5x) * (7 + 4x)
(-1(7 + 4x) + 5x * (7 + 4x)) = 0
((7 * -1 + 4x * -1) + 5x * (7 + 4x)) = 0
((-7 + -4x) + 5x * (7 + 4x)) = 0
(-7 + -4x + (7 * 5x + 4x * 5x)) = 0
(-7 + -4x + (35x + 20x2)) = 0

Combine like terms: -4x + 35x = 31x
(-7 + 31x + 20x2) = 0

Solving
-7 + 31x + 20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -4x)(1 + -5x) = 0

Subproblem 1

Set the factor '(-7 + -4x)' equal to zero and attempt to solve: Simplifying -7 + -4x = 0 Solving -7 + -4x = 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 + -4x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = 0 + 7 -4x = 0 + 7 Combine like terms: 0 + 7 = 7 -4x = 7 Divide each side by '-4'. x = -1.75 Simplifying x = -1.75

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 = {-1.75, 0.2}

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