(3x+8)(7x+4)=

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Solution for (3x+8)(7x+4)= equation:


Simplifying
(3x + 8)(7x + 4) = 0

Reorder the terms:
(8 + 3x)(7x + 4) = 0

Reorder the terms:
(8 + 3x)(4 + 7x) = 0

Multiply (8 + 3x) * (4 + 7x)
(8(4 + 7x) + 3x * (4 + 7x)) = 0
((4 * 8 + 7x * 8) + 3x * (4 + 7x)) = 0
((32 + 56x) + 3x * (4 + 7x)) = 0
(32 + 56x + (4 * 3x + 7x * 3x)) = 0
(32 + 56x + (12x + 21x2)) = 0

Combine like terms: 56x + 12x = 68x
(32 + 68x + 21x2) = 0

Solving
32 + 68x + 21x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(8 + 3x)(4 + 7x) = 0

Subproblem 1

Set the factor '(8 + 3x)' equal to zero and attempt to solve: Simplifying 8 + 3x = 0 Solving 8 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 0 + -8 3x = 0 + -8 Combine like terms: 0 + -8 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667

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 = {-2.666666667, -0.5714285714}

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