7x(2x-1)+9=30

Solution for 7x(2x-1)+9=30 equation:

Simplifying
7x(2x + -1) + 9 = 30

Reorder the terms:
7x(-1 + 2x) + 9 = 30
(-1 * 7x + 2x * 7x) + 9 = 30
(-7x + 14x2) + 9 = 30

Reorder the terms:
9 + -7x + 14x2 = 30

Solving
9 + -7x + 14x2 = 30

Solving for variable 'x'.

Reorder the terms:
9 + -30 + -7x + 14x2 = 30 + -30

Combine like terms: 9 + -30 = -21
-21 + -7x + 14x2 = 30 + -30

Combine like terms: 30 + -30 = 0
-21 + -7x + 14x2 = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(-3 + -1x + 2x2) = 0

Factor a trinomial.
7((-1 + -1x)(3 + -2x)) = 0

Ignore the factor 7.
Subproblem 1
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
Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {-1, 1.5}