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

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Solution for (4+x)(3x+5)=0 equation:


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

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

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

Combine like terms: 12x + 5x = 17x
(20 + 17x + 3x2) = 0

Solving
20 + 17x + 3x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4

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 = {-4, -1.666666667}

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