(5x+3)(7x+4)=

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Solution for (5x+3)(7x+4)= equation:


Simplifying
(5x + 3)(7x + 4) = 0

Reorder the terms:
(3 + 5x)(7x + 4) = 0

Reorder the terms:
(3 + 5x)(4 + 7x) = 0

Multiply (3 + 5x) * (4 + 7x)
(3(4 + 7x) + 5x * (4 + 7x)) = 0
((4 * 3 + 7x * 3) + 5x * (4 + 7x)) = 0
((12 + 21x) + 5x * (4 + 7x)) = 0
(12 + 21x + (4 * 5x + 7x * 5x)) = 0
(12 + 21x + (20x + 35x2)) = 0

Combine like terms: 21x + 20x = 41x
(12 + 41x + 35x2) = 0

Solving
12 + 41x + 35x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + 5x)(4 + 7x) = 0

Subproblem 1

Set the factor '(3 + 5x)' equal to zero and attempt to solve: Simplifying 3 + 5x = 0 Solving 3 + 5x = 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 + 5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 0 + -3 5x = 0 + -3 Combine like terms: 0 + -3 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6

Subproblem 2

Set the factor '(4 + 7x)' equal to zero and attempt to solve: Simplifying 4 + 7x = 0 Solving 4 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 0 + -4 7x = 0 + -4 Combine like terms: 0 + -4 = -4 7x = -4 Divide each side by '7'. x = -0.5714285714 Simplifying x = -0.5714285714

Solution

x = {-0.6, -0.5714285714}

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