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Simplifying
5x2 + 6x + -7 = 3x2 + 6x + -5
Reorder the terms:
-7 + 6x + 5x2 = 3x2 + 6x + -5
Reorder the terms:
-7 + 6x + 5x2 = -5 + 6x + 3x2
Add '-6x' to each side of the equation.
-7 + 6x + -6x + 5x2 = -5 + 6x + -6x + 3x2
Combine like terms: 6x + -6x = 0
-7 + 0 + 5x2 = -5 + 6x + -6x + 3x2
-7 + 5x2 = -5 + 6x + -6x + 3x2
Combine like terms: 6x + -6x = 0
-7 + 5x2 = -5 + 0 + 3x2
-7 + 5x2 = -5 + 3x2
Solving
-7 + 5x2 = -5 + 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.
-7 + 5x2 + -3x2 = -5 + 3x2 + -3x2
Combine like terms: 5x2 + -3x2 = 2x2
-7 + 2x2 = -5 + 3x2 + -3x2
Combine like terms: 3x2 + -3x2 = 0
-7 + 2x2 = -5 + 0
-7 + 2x2 = -5
Add '7' to each side of the equation.
-7 + 7 + 2x2 = -5 + 7
Combine like terms: -7 + 7 = 0
0 + 2x2 = -5 + 7
2x2 = -5 + 7
Combine like terms: -5 + 7 = 2
2x2 = 2
Divide each side by '2'.
x2 = 1
Simplifying
x2 = 1
Take the square root of each side:
x = {-1, 1}
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