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

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


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

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

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

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

Combine like terms: 21x + -15x = 6x
(-9 + 6x + 35x2) = 0

Solving
-9 + 6x + 35x2 = 0

Solving for variable 'x'.

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

Subproblem 1

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

Subproblem 2

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

Solution

x = {-0.6, 0.4285714286}

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