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

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


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

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

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

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

Combine like terms: 2x + -35x = -33x
(-10 + -33x + 7x2) = 0

Solving
-10 + -33x + 7x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -7x)(5 + -1x) = 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 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Solution

x = {-0.2857142857, 5}

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