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

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


Simplifying
-1(5x + -4)(5x + 3) = 0

Reorder the terms:
-1(-4 + 5x)(5x + 3) = 0

Reorder the terms:
-1(-4 + 5x)(3 + 5x) = 0

Multiply (-4 + 5x) * (3 + 5x)
-1(-4(3 + 5x) + 5x * (3 + 5x)) = 0
-1((3 * -4 + 5x * -4) + 5x * (3 + 5x)) = 0
-1((-12 + -20x) + 5x * (3 + 5x)) = 0
-1(-12 + -20x + (3 * 5x + 5x * 5x)) = 0
-1(-12 + -20x + (15x + 25x2)) = 0

Combine like terms: -20x + 15x = -5x
-1(-12 + -5x + 25x2) = 0
(-12 * -1 + -5x * -1 + 25x2 * -1) = 0
(12 + 5x + -25x2) = 0

Solving
12 + 5x + -25x2 = 0

Solving for variable 'x'.

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


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 '(3 + 5x)' equal to zero and attempt to solve:

Simplifying
3 + 5x = 0

Solving
3 + 5x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = 0 + -3
5x = 0 + -3

Combine like terms: 0 + -3 = -3
5x = -3

Divide each side by '5'.
x = -0.6

Simplifying
x = -0.6
Solution
x = {0.8, -0.6}

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