(7x+3)(5x+2)=0

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Solution for (7x+3)(5x+2)=0 equation:


Simplifying
(7x + 3)(5x + 2) = 0

Reorder the terms:
(3 + 7x)(5x + 2) = 0

Reorder the terms:
(3 + 7x)(2 + 5x) = 0

Multiply (3 + 7x) * (2 + 5x)
(3(2 + 5x) + 7x * (2 + 5x)) = 0
((2 * 3 + 5x * 3) + 7x * (2 + 5x)) = 0
((6 + 15x) + 7x * (2 + 5x)) = 0
(6 + 15x + (2 * 7x + 5x * 7x)) = 0
(6 + 15x + (14x + 35x2)) = 0

Combine like terms: 15x + 14x = 29x
(6 + 29x + 35x2) = 0

Solving
6 + 29x + 35x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + 7x)(2 + 5x) = 0

Subproblem 1

Set the factor '(3 + 7x)' equal to zero and attempt to solve: Simplifying 3 + 7x = 0 Solving 3 + 7x = 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 + 7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 0 + -3 7x = 0 + -3 Combine like terms: 0 + -3 = -3 7x = -3 Divide each side by '7'. x = -0.4285714286 Simplifying x = -0.4285714286

Subproblem 2

Set the factor '(2 + 5x)' equal to zero and attempt to solve: Simplifying 2 + 5x = 0 Solving 2 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4

Solution

x = {-0.4285714286, -0.4}

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