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Simplifying
7x * 5x + 25 = 340
Reorder the terms for easier multiplication:
7 * 5x * x + 25 = 340
Multiply 7 * 5
35x * x + 25 = 340
Multiply x * x
35x2 + 25 = 340
Reorder the terms:
25 + 35x2 = 340
Solving
25 + 35x2 = 340
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 + 35x2 = 340 + -25
Combine like terms: 25 + -25 = 0
0 + 35x2 = 340 + -25
35x2 = 340 + -25
Combine like terms: 340 + -25 = 315
35x2 = 315
Divide each side by '35'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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