49-4(x-3)(x-3)=24x

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Solution for 49-4(x-3)(x-3)=24x equation: 


Simplifying
49 + -4(x + -3)(x + -3) = 24x

Reorder the terms:
49 + -4(-3 + x)(x + -3) = 24x

Reorder the terms:
49 + -4(-3 + x)(-3 + x) = 24x

Multiply (-3 + x) * (-3 + x)
49 + -4(-3(-3 + x) + x(-3 + x)) = 24x
49 + -4((-3 * -3 + x * -3) + x(-3 + x)) = 24x
49 + -4((9 + -3x) + x(-3 + x)) = 24x
49 + -4(9 + -3x + (-3 * x + x * x)) = 24x
49 + -4(9 + -3x + (-3x + x2)) = 24x

Combine like terms: -3x + -3x = -6x
49 + -4(9 + -6x + x2) = 24x
49 + (9 * -4 + -6x * -4 + x2 * -4) = 24x
49 + (-36 + 24x + -4x2) = 24x

Combine like terms: 49 + -36 = 13
13 + 24x + -4x2 = 24x

Add '-24x' to each side of the equation.
13 + 24x + -24x + -4x2 = 24x + -24x

Combine like terms: 24x + -24x = 0
13 + 0 + -4x2 = 24x + -24x
13 + -4x2 = 24x + -24x

Combine like terms: 24x + -24x = 0
13 + -4x2 = 0

Solving
13 + -4x2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-13' to each side of the equation.
13 + -13 + -4x2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -4x2 = 0 + -13
-4x2 = 0 + -13

Combine like terms: 0 + -13 = -13
-4x2 = -13

Divide each side by '-4'.
x2 = 3.25

Simplifying
x2 = 3.25

Take the square root of each side:
x = {-1.802775638, 1.802775638}

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