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Simplifying
7x2 + 3x + -5 + -4x = x2 + -1x + 9 + 3x2 + 13
Reorder the terms:
-5 + 3x + -4x + 7x2 = x2 + -1x + 9 + 3x2 + 13
Combine like terms: 3x + -4x = -1x
-5 + -1x + 7x2 = x2 + -1x + 9 + 3x2 + 13
Reorder the terms:
-5 + -1x + 7x2 = 9 + 13 + -1x + x2 + 3x2
Combine like terms: 9 + 13 = 22
-5 + -1x + 7x2 = 22 + -1x + x2 + 3x2
Combine like terms: x2 + 3x2 = 4x2
-5 + -1x + 7x2 = 22 + -1x + 4x2
Add 'x' to each side of the equation.
-5 + -1x + x + 7x2 = 22 + -1x + x + 4x2
Combine like terms: -1x + x = 0
-5 + 0 + 7x2 = 22 + -1x + x + 4x2
-5 + 7x2 = 22 + -1x + x + 4x2
Combine like terms: -1x + x = 0
-5 + 7x2 = 22 + 0 + 4x2
-5 + 7x2 = 22 + 4x2
Solving
-5 + 7x2 = 22 + 4x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x2' to each side of the equation.
-5 + 7x2 + -4x2 = 22 + 4x2 + -4x2
Combine like terms: 7x2 + -4x2 = 3x2
-5 + 3x2 = 22 + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
-5 + 3x2 = 22 + 0
-5 + 3x2 = 22
Add '5' to each side of the equation.
-5 + 5 + 3x2 = 22 + 5
Combine like terms: -5 + 5 = 0
0 + 3x2 = 22 + 5
3x2 = 22 + 5
Combine like terms: 22 + 5 = 27
3x2 = 27
Divide each side by '3'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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