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Simplifying
13x2 = 8 + -1(4x2 + -24 + 9)
Reorder the terms:
13x2 = 8 + -1(-24 + 9 + 4x2)
Combine like terms: -24 + 9 = -15
13x2 = 8 + -1(-15 + 4x2)
13x2 = 8 + (-15 * -1 + 4x2 * -1)
13x2 = 8 + (15 + -4x2)
Combine like terms: 8 + 15 = 23
13x2 = 23 + -4x2
Solving
13x2 = 23 + -4x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4x2' to each side of the equation.
13x2 + 4x2 = 23 + -4x2 + 4x2
Combine like terms: 13x2 + 4x2 = 17x2
17x2 = 23 + -4x2 + 4x2
Combine like terms: -4x2 + 4x2 = 0
17x2 = 23 + 0
17x2 = 23
Divide each side by '17'.
x2 = 1.352941176
Simplifying
x2 = 1.352941176
Take the square root of each side:
x = {-1.163159996, 1.163159996}
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