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Simplifying
3x2 + -26x + 35 = -26x + 62
Reorder the terms:
35 + -26x + 3x2 = -26x + 62
Reorder the terms:
35 + -26x + 3x2 = 62 + -26x
Add '26x' to each side of the equation.
35 + -26x + 26x + 3x2 = 62 + -26x + 26x
Combine like terms: -26x + 26x = 0
35 + 0 + 3x2 = 62 + -26x + 26x
35 + 3x2 = 62 + -26x + 26x
Combine like terms: -26x + 26x = 0
35 + 3x2 = 62 + 0
35 + 3x2 = 62
Solving
35 + 3x2 = 62
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-35' to each side of the equation.
35 + -35 + 3x2 = 62 + -35
Combine like terms: 35 + -35 = 0
0 + 3x2 = 62 + -35
3x2 = 62 + -35
Combine like terms: 62 + -35 = 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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