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Simplifying
3x(x + -4) = (x + -10)(x + -2)
Reorder the terms:
3x(-4 + x) = (x + -10)(x + -2)
(-4 * 3x + x * 3x) = (x + -10)(x + -2)
(-12x + 3x2) = (x + -10)(x + -2)
Reorder the terms:
-12x + 3x2 = (-10 + x)(x + -2)
Reorder the terms:
-12x + 3x2 = (-10 + x)(-2 + x)
Multiply (-10 + x) * (-2 + x)
-12x + 3x2 = (-10(-2 + x) + x(-2 + x))
-12x + 3x2 = ((-2 * -10 + x * -10) + x(-2 + x))
-12x + 3x2 = ((20 + -10x) + x(-2 + x))
-12x + 3x2 = (20 + -10x + (-2 * x + x * x))
-12x + 3x2 = (20 + -10x + (-2x + x2))
Combine like terms: -10x + -2x = -12x
-12x + 3x2 = (20 + -12x + x2)
Add '12x' to each side of the equation.
-12x + 12x + 3x2 = 20 + -12x + 12x + x2
Combine like terms: -12x + 12x = 0
0 + 3x2 = 20 + -12x + 12x + x2
3x2 = 20 + -12x + 12x + x2
Combine like terms: -12x + 12x = 0
3x2 = 20 + 0 + x2
3x2 = 20 + x2
Solving
3x2 = 20 + x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x2' to each side of the equation.
3x2 + -1x2 = 20 + x2 + -1x2
Combine like terms: 3x2 + -1x2 = 2x2
2x2 = 20 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
2x2 = 20 + 0
2x2 = 20
Divide each side by '2'.
x2 = 10
Simplifying
x2 = 10
Take the square root of each side:
x = {-3.16227766, 3.16227766}
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