(6x+7)(3x+4)=

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Solution for (6x+7)(3x+4)= equation:


Simplifying
(6x + 7)(3x + 4) = 0

Reorder the terms:
(7 + 6x)(3x + 4) = 0

Reorder the terms:
(7 + 6x)(4 + 3x) = 0

Multiply (7 + 6x) * (4 + 3x)
(7(4 + 3x) + 6x * (4 + 3x)) = 0
((4 * 7 + 3x * 7) + 6x * (4 + 3x)) = 0
((28 + 21x) + 6x * (4 + 3x)) = 0
(28 + 21x + (4 * 6x + 3x * 6x)) = 0
(28 + 21x + (24x + 18x2)) = 0

Combine like terms: 21x + 24x = 45x
(28 + 45x + 18x2) = 0

Solving
28 + 45x + 18x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + 3x)(7 + 6x) = 0

Subproblem 1

Set the factor '(4 + 3x)' equal to zero and attempt to solve: Simplifying 4 + 3x = 0 Solving 4 + 3x = 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 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333

Subproblem 2

Set the factor '(7 + 6x)' equal to zero and attempt to solve: Simplifying 7 + 6x = 0 Solving 7 + 6x = 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 + 6x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = 0 + -7 6x = 0 + -7 Combine like terms: 0 + -7 = -7 6x = -7 Divide each side by '6'. x = -1.166666667 Simplifying x = -1.166666667

Solution

x = {-1.333333333, -1.166666667}

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