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

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


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

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

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

Multiply (2 + 7x) * (-5 + 3x)
(2(-5 + 3x) + 7x * (-5 + 3x)) = 0
((-5 * 2 + 3x * 2) + 7x * (-5 + 3x)) = 0
((-10 + 6x) + 7x * (-5 + 3x)) = 0
(-10 + 6x + (-5 * 7x + 3x * 7x)) = 0
(-10 + 6x + (-35x + 21x2)) = 0

Combine like terms: 6x + -35x = -29x
(-10 + -29x + 21x2) = 0

Solving
-10 + -29x + 21x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(-2 + -7x)' equal to zero and attempt to solve: Simplifying -2 + -7x = 0 Solving -2 + -7x = 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 + -7x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = 0 + 2 -7x = 0 + 2 Combine like terms: 0 + 2 = 2 -7x = 2 Divide each side by '-7'. x = -0.2857142857 Simplifying x = -0.2857142857

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 = {-0.2857142857, 1.666666667}

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