4x+3x^2-(6x+x^2)-(7x-4x^2)=

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Solution for 4x+3x^2-(6x+x^2)-(7x-4x^2)= equation: 


Simplifying
4x + 3x2 + -1(6x + x2) + -1(7x + -4x2) = 0
4x + 3x2 + (6x * -1 + x2 * -1) + -1(7x + -4x2) = 0
4x + 3x2 + (-6x + -1x2) + -1(7x + -4x2) = 0
4x + 3x2 + -6x + -1x2 + (7x * -1 + -4x2 * -1) = 0
4x + 3x2 + -6x + -1x2 + (-7x + 4x2) = 0

Reorder the terms:
4x + -6x + -7x + 3x2 + -1x2 + 4x2 = 0

Combine like terms: 4x + -6x = -2x
-2x + -7x + 3x2 + -1x2 + 4x2 = 0

Combine like terms: -2x + -7x = -9x
-9x + 3x2 + -1x2 + 4x2 = 0

Combine like terms: 3x2 + -1x2 = 2x2
-9x + 2x2 + 4x2 = 0

Combine like terms: 2x2 + 4x2 = 6x2
-9x + 6x2 = 0

Solving
-9x + 6x2 = 0

Solving for variable 'x'.

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

Ignore the factor 3.

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 '(-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 = {0, 1.5}

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