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

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


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

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

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

Multiply (3 + 5x) * (7 + 3x)
(3(7 + 3x) + 5x * (7 + 3x)) = 0
((7 * 3 + 3x * 3) + 5x * (7 + 3x)) = 0
((21 + 9x) + 5x * (7 + 3x)) = 0
(21 + 9x + (7 * 5x + 3x * 5x)) = 0
(21 + 9x + (35x + 15x2)) = 0

Combine like terms: 9x + 35x = 44x
(21 + 44x + 15x2) = 0

Solving
21 + 44x + 15x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(7 + 3x)' equal to zero and attempt to solve: Simplifying 7 + 3x = 0 Solving 7 + 3x = 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 + 3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 0 + -7 3x = 0 + -7 Combine like terms: 0 + -7 = -7 3x = -7 Divide each side by '3'. x = -2.333333333 Simplifying x = -2.333333333

Subproblem 2

Set the factor '(3 + 5x)' equal to zero and attempt to solve: Simplifying 3 + 5x = 0 Solving 3 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 0 + -3 5x = 0 + -3 Combine like terms: 0 + -3 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6

Solution

x = {-2.333333333, -0.6}

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