(5x+5)(9x-4)=0

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Solution for (5x+5)(9x-4)=0 equation:


Simplifying
(5x + 5)(9x + -4) = 0

Reorder the terms:
(5 + 5x)(9x + -4) = 0

Reorder the terms:
(5 + 5x)(-4 + 9x) = 0

Multiply (5 + 5x) * (-4 + 9x)
(5(-4 + 9x) + 5x * (-4 + 9x)) = 0
((-4 * 5 + 9x * 5) + 5x * (-4 + 9x)) = 0
((-20 + 45x) + 5x * (-4 + 9x)) = 0
(-20 + 45x + (-4 * 5x + 9x * 5x)) = 0
(-20 + 45x + (-20x + 45x2)) = 0

Combine like terms: 45x + -20x = 25x
(-20 + 25x + 45x2) = 0

Solving
-20 + 25x + 45x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-4 + 5x + 9x2) = 0

Factor a trinomial.
5((-1 + -1x)(4 + -9x)) = 0

Ignore the factor 5.

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

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -1x = 0 + 1

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

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

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

Simplifying
x = -1

Subproblem 2
Set the factor '(4 + -9x)' equal to zero and attempt to solve:

Simplifying
4 + -9x = 0

Solving
4 + -9x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -9x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -9x = 0 + -4
-9x = 0 + -4

Combine like terms: 0 + -4 = -4
-9x = -4

Divide each side by '-9'.
x = 0.4444444444

Simplifying
x = 0.4444444444
Solution
x = {-1, 0.4444444444}

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