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

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Solution for (7+x)(3x+5)=0 equation:


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

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

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

Combine like terms: 21x + 5x = 26x
(35 + 26x + 3x2) = 0

Solving
35 + 26x + 3x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 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 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7

Subproblem 2

Set the factor '(5 + 3x)' equal to zero and attempt to solve: Simplifying 5 + 3x = 0 Solving 5 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 0 + -5 3x = 0 + -5 Combine like terms: 0 + -5 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667

Solution

x = {-7, -1.666666667}

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