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Simplifying
x * x + 5x + 5x + 25 = 5x + 34 + 5x
Multiply x * x
x2 + 5x + 5x + 25 = 5x + 34 + 5x
Reorder the terms:
25 + 5x + 5x + x2 = 5x + 34 + 5x
Combine like terms: 5x + 5x = 10x
25 + 10x + x2 = 5x + 34 + 5x
Reorder the terms:
25 + 10x + x2 = 34 + 5x + 5x
Combine like terms: 5x + 5x = 10x
25 + 10x + x2 = 34 + 10x
Add '-10x' to each side of the equation.
25 + 10x + -10x + x2 = 34 + 10x + -10x
Combine like terms: 10x + -10x = 0
25 + 0 + x2 = 34 + 10x + -10x
25 + x2 = 34 + 10x + -10x
Combine like terms: 10x + -10x = 0
25 + x2 = 34 + 0
25 + x2 = 34
Solving
25 + x2 = 34
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-25' to each side of the equation.
25 + -25 + x2 = 34 + -25
Combine like terms: 25 + -25 = 0
0 + x2 = 34 + -25
x2 = 34 + -25
Combine like terms: 34 + -25 = 9
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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