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Simplifying
5(7x2 + -5) + -1(5(3x2 + -2) + 5) = 0
Reorder the terms:
5(-5 + 7x2) + -1(5(3x2 + -2) + 5) = 0
(-5 * 5 + 7x2 * 5) + -1(5(3x2 + -2) + 5) = 0
(-25 + 35x2) + -1(5(3x2 + -2) + 5) = 0
Reorder the terms:
-25 + 35x2 + -1(5(-2 + 3x2) + 5) = 0
-25 + 35x2 + -1((-2 * 5 + 3x2 * 5) + 5) = 0
-25 + 35x2 + -1((-10 + 15x2) + 5) = 0
Reorder the terms:
-25 + 35x2 + -1(-10 + 5 + 15x2) = 0
Combine like terms: -10 + 5 = -5
-25 + 35x2 + -1(-5 + 15x2) = 0
-25 + 35x2 + (-5 * -1 + 15x2 * -1) = 0
-25 + 35x2 + (5 + -15x2) = 0
Reorder the terms:
-25 + 5 + 35x2 + -15x2 = 0
Combine like terms: -25 + 5 = -20
-20 + 35x2 + -15x2 = 0
Combine like terms: 35x2 + -15x2 = 20x2
-20 + 20x2 = 0
Solving
-20 + 20x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '20' to each side of the equation.
-20 + 20 + 20x2 = 0 + 20
Combine like terms: -20 + 20 = 0
0 + 20x2 = 0 + 20
20x2 = 0 + 20
Combine like terms: 0 + 20 = 20
20x2 = 20
Divide each side by '20'.
x2 = 1
Simplifying
x2 = 1
Take the square root of each side:
x = {-1, 1}
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