-x^2+3=-3x+3

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Solution for -x^2+3=-3x+3 equation:


Simplifying
-1x2 + 3 = -3x + 3

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

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

Add '-3' to each side of the equation.
3 + -3 + -1x2 = 3 + -3 + -3x

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

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

Solving
-1x2 = -3x

Solving for variable 'x'.

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

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(3 + -1x) = 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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {0, 3}

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