3x^2-11x-33=7x^2-3x-33

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Solution for 3x^2-11x-33=7x^2-3x-33 equation:


Simplifying
3x2 + -11x + -33 = 7x2 + -3x + -33

Reorder the terms:
-33 + -11x + 3x2 = 7x2 + -3x + -33

Reorder the terms:
-33 + -11x + 3x2 = -33 + -3x + 7x2

Add '33' to each side of the equation.
-33 + -11x + 33 + 3x2 = -33 + -3x + 33 + 7x2

Reorder the terms:
-33 + 33 + -11x + 3x2 = -33 + -3x + 33 + 7x2

Combine like terms: -33 + 33 = 0
0 + -11x + 3x2 = -33 + -3x + 33 + 7x2
-11x + 3x2 = -33 + -3x + 33 + 7x2

Reorder the terms:
-11x + 3x2 = -33 + 33 + -3x + 7x2

Combine like terms: -33 + 33 = 0
-11x + 3x2 = 0 + -3x + 7x2
-11x + 3x2 = -3x + 7x2

Solving
-11x + 3x2 = -3x + 7x2

Solving for variable 'x'.

Reorder the terms:
-11x + 3x + 3x2 + -7x2 = -3x + 7x2 + 3x + -7x2

Combine like terms: -11x + 3x = -8x
-8x + 3x2 + -7x2 = -3x + 7x2 + 3x + -7x2

Combine like terms: 3x2 + -7x2 = -4x2
-8x + -4x2 = -3x + 7x2 + 3x + -7x2

Reorder the terms:
-8x + -4x2 = -3x + 3x + 7x2 + -7x2

Combine like terms: -3x + 3x = 0
-8x + -4x2 = 0 + 7x2 + -7x2
-8x + -4x2 = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
-8x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '-4x'.
-4x(2 + x) = 0

Ignore the factor -4.

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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Solution

x = {0, -2}

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