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Simplifying
3x + -3(x + -3) = 2x + -1 + 2x(2x + -1)
Reorder the terms:
3x + -3(-3 + x) = 2x + -1 + 2x(2x + -1)
3x + (-3 * -3 + x * -3) = 2x + -1 + 2x(2x + -1)
3x + (9 + -3x) = 2x + -1 + 2x(2x + -1)
Reorder the terms:
9 + 3x + -3x = 2x + -1 + 2x(2x + -1)
Combine like terms: 3x + -3x = 0
9 + 0 = 2x + -1 + 2x(2x + -1)
9 = 2x + -1 + 2x(2x + -1)
Reorder the terms:
9 = 2x + -1 + 2x(-1 + 2x)
9 = 2x + -1 + (-1 * 2x + 2x * 2x)
9 = 2x + -1 + (-2x + 4x2)
Reorder the terms:
9 = -1 + 2x + -2x + 4x2
Combine like terms: 2x + -2x = 0
9 = -1 + 0 + 4x2
9 = -1 + 4x2
Solving
9 = -1 + 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.
9 + -4x2 = -1 + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
9 + -4x2 = -1 + 0
9 + -4x2 = -1
Add '-9' to each side of the equation.
9 + -9 + -4x2 = -1 + -9
Combine like terms: 9 + -9 = 0
0 + -4x2 = -1 + -9
-4x2 = -1 + -9
Combine like terms: -1 + -9 = -10
-4x2 = -10
Divide each side by '-4'.
x2 = 2.5
Simplifying
x2 = 2.5
Take the square root of each side:
x = {-1.58113883, 1.58113883}
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