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

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


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

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

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

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

Combine like terms: 35x + -4x = 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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