7x^2-3x[2x+3(2-x)]=

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Solution for 7x^2-3x[2x+3(2-x)]= equation:


Simplifying
7x2 + -3x[2x + 3(2 + -1x)] = 0
7x2 + -3x[2x + (2 * 3 + -1x * 3)] = 0
7x2 + -3x[2x + (6 + -3x)] = 0

Reorder the terms:
7x2 + -3x[6 + 2x + -3x] = 0

Combine like terms: 2x + -3x = -1x
7x2 + -3x[6 + -1x] = 0
7x2 + [6 * -3x + -1x * -3x] = 0
7x2 + [-18x + 3x2] = 0

Reorder the terms:
-18x + 7x2 + 3x2 = 0

Combine like terms: 7x2 + 3x2 = 10x2
-18x + 10x2 = 0

Solving
-18x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-9 + 5x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-9 + 5x)' equal to zero and attempt to solve:

Simplifying
-9 + 5x = 0

Solving
-9 + 5x = 0

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

Add '9' to each side of the equation.
-9 + 9 + 5x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 5x = 0 + 9
5x = 0 + 9

Combine like terms: 0 + 9 = 9
5x = 9

Divide each side by '5'.
x = 1.8

Simplifying
x = 1.8
Solution
x = {0, 1.8}

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