Answer:Simplifying
(5x + -6)(5x + -3) = 0
Reorder the terms:
(-6 + 5x)(5x + -3) = 0
Reorder the terms:
(-6 + 5x)(-3 + 5x) = 0
Multiply (-6 + 5x) * (-3 + 5x)
(-6(-3 + 5x) + 5x * (-3 + 5x)) = 0
((-3 * -6 + 5x * -6) + 5x * (-3 + 5x)) = 0
((18 + -30x) + 5x * (-3 + 5x)) = 0
(18 + -30x + (-3 * 5x + 5x * 5x)) = 0
(18 + -30x + (-15x + 25x2)) = 0
Combine like terms: -30x + -15x = -45x
(18 + -45x + 25x2) = 0
Solving
18 + -45x + 25x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(3 + -5x)(6 + -5x) = 0
Subproblem 1
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
Subproblem 2
Set the factor '(6 + -5x)' equal to zero and attempt to solve:
Simplifying
6 + -5x = 0
Solving
6 + -5x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-6' to each side of the equation.
6 + -6 + -5x = 0 + -6
Combine like terms: 6 + -6 = 0
0 + -5x = 0 + -6
-5x = 0 + -6
Combine like terms: 0 + -6 = -6
-5x = -6
Divide each side by '-5'.
x = 1.2
Simplifying
x = 1.2
Solution
x = {0.6, 1.2}
Step-by-step explanation:
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