(5x+4)(3x-3)=0

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Solution for (5x+4)(3x-3)=0 equation: 


Simplifying
(5x + 4)(3x + -3) = 0

Reorder the terms:
(4 + 5x)(3x + -3) = 0

Reorder the terms:
(4 + 5x)(-3 + 3x) = 0

Multiply (4 + 5x) * (-3 + 3x)
(4(-3 + 3x) + 5x * (-3 + 3x)) = 0
((-3 * 4 + 3x * 4) + 5x * (-3 + 3x)) = 0
((-12 + 12x) + 5x * (-3 + 3x)) = 0
(-12 + 12x + (-3 * 5x + 3x * 5x)) = 0
(-12 + 12x + (-15x + 15x2)) = 0

Combine like terms: 12x + -15x = -3x
(-12 + -3x + 15x2) = 0

Solving
-12 + -3x + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-4 + -1x + 5x2) = 0

Factor a trinomial.
3((-4 + -5x)(1 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-4 + -5x)' equal to zero and attempt to solve:

Simplifying
-4 + -5x = 0

Solving
-4 + -5x = 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 + -5x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5x = 0 + 4
-5x = 0 + 4

Combine like terms: 0 + 4 = 4
-5x = 4

Divide each side by '-5'.
x = -0.8

Simplifying
x = -0.8

Subproblem 2
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
Solution
x = {-0.8, 1}

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