7x^2+11x-30=0?
7x^2+11x-30=0
omg its 5 in the morning where im at and this is the end of my hw.
i have 4 problems like this after doing like a ton of trinomials. i just wanna go to bed. please help. thanks.<333
Favorite Answer
(7x-10)(x+3)=0
x=1 3/7 or -3
7x^2 + 11x + -30 = 0
Reorder the terms:
-30 + 11x + 7x^2 = 0
Solving
-30 + 11x + 7x^2 = 0
Solving for variable ‘x’.
Factor a trinomial.
(-3 + -1x)(10 + -7x) = 0
Subproblem 1
Set the factor ‘(-3 + -1x)’ equal to zero and attempt to solve:
Simplifying
-3 + -1x = 0
Solving
-3 + -1x = 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 + -1x = 0 + 3
Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3
Combine like terms: 0 + 3 = 3
-1x = 3
Divide each side by ‘-1’.
x = -3
Simplifying
x = -3
Subproblem 2
Set the factor ‘(10 + -7x)’ equal to zero and attempt to solve:
Simplifying
10 + -7x = 0
Solving
10 + -7x = 0
Move all terms containing x to the left, all other terms to the right.
Add ‘-10’ to each side of the equation.
10 + -10 + -7x = 0 + -10
Combine like terms: 10 + -10 = 0
0 + -7x = 0 + -10
-7x = 0 + -10
Combine like terms: 0 + -10 = -10
-7x = -10
Divide each side by ‘-7’.
x = 1.428571429
Simplifying
x = 1.428571429
Solution
x = {-3, 1.428571429}
