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Simplifying
(-2x)(-2x) + -1(-7x)(-7x) = 0
Remove parenthesis around (-2x)
-2x(-2x) + -1(-7x)(-7x) = 0
Remove parenthesis around (-2x)
-2x * -2x + -1(-7x)(-7x) = 0
Reorder the terms for easier multiplication:
-2 * -2x * x + -1(-7x)(-7x) = 0
Multiply -2 * -2
4x * x + -1(-7x)(-7x) = 0
Multiply x * x
4x2 + -1(-7x)(-7x) = 0
Remove parenthesis around (-7x)
4x2 + -1 * -7x(-7x) = 0
Remove parenthesis around (-7x)
4x2 + -1 * -7x * -7x = 0
Reorder the terms for easier multiplication:
4x2 + -1 * -7 * -7x * x = 0
Multiply -1 * -7
4x2 + 7 * -7x * x = 0
Multiply 7 * -7
4x2 + -49x * x = 0
Multiply x * x
4x2 + -49x2 = 0
Combine like terms: 4x2 + -49x2 = -45x2
-45x2 = 0
Solving
-45x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '-45'.
x2 = 0
Simplifying
x2 = 0
Take the square root of each side:
x = {0}
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