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Simplifying
2x + 5 = 3x2 + 2x + -7
Reorder the terms:
5 + 2x = 3x2 + 2x + -7
Reorder the terms:
5 + 2x = -7 + 2x + 3x2
Add '-2x' to each side of the equation.
5 + 2x + -2x = -7 + 2x + -2x + 3x2
Combine like terms: 2x + -2x = 0
5 + 0 = -7 + 2x + -2x + 3x2
5 = -7 + 2x + -2x + 3x2
Combine like terms: 2x + -2x = 0
5 = -7 + 0 + 3x2
5 = -7 + 3x2
Solving
5 = -7 + 3x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x2' to each side of the equation.
5 + -3x2 = -7 + 3x2 + -3x2
Combine like terms: 3x2 + -3x2 = 0
5 + -3x2 = -7 + 0
5 + -3x2 = -7
Add '-5' to each side of the equation.
5 + -5 + -3x2 = -7 + -5
Combine like terms: 5 + -5 = 0
0 + -3x2 = -7 + -5
-3x2 = -7 + -5
Combine like terms: -7 + -5 = -12
-3x2 = -12
Divide each side by '-3'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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