(7x+6)(3x+10)=0

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Solution for (7x+6)(3x+10)=0 equation:


Simplifying
(7x + 6)(3x + 10) = 0

Reorder the terms:
(6 + 7x)(3x + 10) = 0

Reorder the terms:
(6 + 7x)(10 + 3x) = 0

Multiply (6 + 7x) * (10 + 3x)
(6(10 + 3x) + 7x * (10 + 3x)) = 0
((10 * 6 + 3x * 6) + 7x * (10 + 3x)) = 0
((60 + 18x) + 7x * (10 + 3x)) = 0
(60 + 18x + (10 * 7x + 3x * 7x)) = 0
(60 + 18x + (70x + 21x2)) = 0

Combine like terms: 18x + 70x = 88x
(60 + 88x + 21x2) = 0

Solving
60 + 88x + 21x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(10 + 3x)(6 + 7x) = 0

Subproblem 1

Set the factor '(10 + 3x)' equal to zero and attempt to solve: Simplifying 10 + 3x = 0 Solving 10 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 0 + -10 3x = 0 + -10 Combine like terms: 0 + -10 = -10 3x = -10 Divide each side by '3'. x = -3.333333333 Simplifying x = -3.333333333

Subproblem 2

Set the factor '(6 + 7x)' equal to zero and attempt to solve: Simplifying 6 + 7x = 0 Solving 6 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 7x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 0 + -6 7x = 0 + -6 Combine like terms: 0 + -6 = -6 7x = -6 Divide each side by '7'. x = -0.8571428571 Simplifying x = -0.8571428571

Solution

x = {-3.333333333, -0.8571428571}

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