3x^2-2x+1-(2x^2-7+8)=0

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Solution for 3x^2-2x+1-(2x^2-7+8)=0 equation:


Simplifying
3x2 + -2x + 1 + -1(2x2 + -7 + 8) = 0

Reorder the terms:
3x2 + -2x + 1 + -1(-7 + 8 + 2x2) = 0

Combine like terms: -7 + 8 = 1
3x2 + -2x + 1 + -1(1 + 2x2) = 0
3x2 + -2x + 1 + (1 * -1 + 2x2 * -1) = 0
3x2 + -2x + 1 + (-1 + -2x2) = 0

Reorder the terms:
1 + -1 + -2x + 3x2 + -2x2 = 0

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

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

Solving
-2x + 1x2 = 0

Solving for variable 'x'.

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

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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