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Simplifying
2x2 + 5x + -3 = x2 + 5x + 1
Reorder the terms:
-3 + 5x + 2x2 = x2 + 5x + 1
Reorder the terms:
-3 + 5x + 2x2 = 1 + 5x + x2
Add '-5x' to each side of the equation.
-3 + 5x + -5x + 2x2 = 1 + 5x + -5x + x2
Combine like terms: 5x + -5x = 0
-3 + 0 + 2x2 = 1 + 5x + -5x + x2
-3 + 2x2 = 1 + 5x + -5x + x2
Combine like terms: 5x + -5x = 0
-3 + 2x2 = 1 + 0 + x2
-3 + 2x2 = 1 + x2
Solving
-3 + 2x2 = 1 + x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x2' to each side of the equation.
-3 + 2x2 + -1x2 = 1 + x2 + -1x2
Combine like terms: 2x2 + -1x2 = 1x2
-3 + 1x2 = 1 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
-3 + 1x2 = 1 + 0
-3 + 1x2 = 1
Add '3' to each side of the equation.
-3 + 3 + 1x2 = 1 + 3
Combine like terms: -3 + 3 = 0
0 + 1x2 = 1 + 3
1x2 = 1 + 3
Combine like terms: 1 + 3 = 4
1x2 = 4
Divide each side by '1'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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