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Simplifying
4x2 + -3x = 24 + -1(3x + -1)
Reorder the terms:
-3x + 4x2 = 24 + -1(3x + -1)
Reorder the terms:
-3x + 4x2 = 24 + -1(-1 + 3x)
-3x + 4x2 = 24 + (-1 * -1 + 3x * -1)
-3x + 4x2 = 24 + (1 + -3x)
Combine like terms: 24 + 1 = 25
-3x + 4x2 = 25 + -3x
Add '3x' to each side of the equation.
-3x + 3x + 4x2 = 25 + -3x + 3x
Combine like terms: -3x + 3x = 0
0 + 4x2 = 25 + -3x + 3x
4x2 = 25 + -3x + 3x
Combine like terms: -3x + 3x = 0
4x2 = 25 + 0
4x2 = 25
Solving
4x2 = 25
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '4'.
x2 = 6.25
Simplifying
x2 = 6.25
Take the square root of each side:
x = {-2.5, 2.5}
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