(-3)+3x^2+10+(-8)-2x-9-4x+10=0

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Solution for (-3)+3x^2+10+(-8)-2x-9-4x+10=0 equation:


Simplifying
(-3) + 3x2 + 10 + (-8) + -2x + -9 + -4x + 10 = 0
-3 + 3x2 + 10 + (-8) + -2x + -9 + -4x + 10 = 0
-3 + 3x2 + 10 + -8 + -2x + -9 + -4x + 10 = 0

Reorder the terms:
-3 + 10 + -8 + -9 + 10 + -2x + -4x + 3x2 = 0

Combine like terms: -3 + 10 = 7
7 + -8 + -9 + 10 + -2x + -4x + 3x2 = 0

Combine like terms: 7 + -8 = -1
-1 + -9 + 10 + -2x + -4x + 3x2 = 0

Combine like terms: -1 + -9 = -10
-10 + 10 + -2x + -4x + 3x2 = 0

Combine like terms: -10 + 10 = 0
0 + -2x + -4x + 3x2 = 0
-2x + -4x + 3x2 = 0

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

Solving
-6x + 3x2 = 0

Solving for variable 'x'.

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