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Simplifying
42x2 + -69 + 20 = 7x2 + -8
Reorder the terms:
-69 + 20 + 42x2 = 7x2 + -8
Combine like terms: -69 + 20 = -49
-49 + 42x2 = 7x2 + -8
Reorder the terms:
-49 + 42x2 = -8 + 7x2
Solving
-49 + 42x2 = -8 + 7x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7x2' to each side of the equation.
-49 + 42x2 + -7x2 = -8 + 7x2 + -7x2
Combine like terms: 42x2 + -7x2 = 35x2
-49 + 35x2 = -8 + 7x2 + -7x2
Combine like terms: 7x2 + -7x2 = 0
-49 + 35x2 = -8 + 0
-49 + 35x2 = -8
Add '49' to each side of the equation.
-49 + 49 + 35x2 = -8 + 49
Combine like terms: -49 + 49 = 0
0 + 35x2 = -8 + 49
35x2 = -8 + 49
Combine like terms: -8 + 49 = 41
35x2 = 41
Divide each side by '35'.
x2 = 1.171428571
Simplifying
x2 = 1.171428571
Take the square root of each side:
x = {-1.082325538, 1.082325538}
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