(5x-24)(x+7)=0

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Solution for (5x-24)(x+7)=0 equation: 


Simplifying
(5x + -24)(x + 7) = 0

Reorder the terms:
(-24 + 5x)(x + 7) = 0

Reorder the terms:
(-24 + 5x)(7 + x) = 0

Multiply (-24 + 5x) * (7 + x)
(-24(7 + x) + 5x * (7 + x)) = 0
((7 * -24 + x * -24) + 5x * (7 + x)) = 0
((-168 + -24x) + 5x * (7 + x)) = 0
(-168 + -24x + (7 * 5x + x * 5x)) = 0
(-168 + -24x + (35x + 5x2)) = 0

Combine like terms: -24x + 35x = 11x
(-168 + 11x + 5x2) = 0

Solving
-168 + 11x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -1x)(24 + -5x) = 0


Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 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 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

Subproblem 2
Set the factor '(24 + -5x)' equal to zero and attempt to solve:

Simplifying
24 + -5x = 0

Solving
24 + -5x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-24' to each side of the equation.
24 + -24 + -5x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -5x = 0 + -24
-5x = 0 + -24

Combine like terms: 0 + -24 = -24
-5x = -24

Divide each side by '-5'.
x = 4.8

Simplifying
x = 4.8
Solution
x = {-7, 4.8}

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