-(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 = 35x
-1(12 + 35x + 25x2) = 0
(12 * -1 + 35x * -1 + 25x2 * -1) = 0
(-12 + -35x + -25x2) = 0

Solving
-12 + -35x + -25x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(12 + 35x + 25x2) = 0

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

Ignore the factor -1.

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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