(x-4)(x+1)=10-3x

Solution for (x-4)(x+1)=10-3x equation:

Simplifying
(x + -4)(x + 1) = 10 + -3x

Reorder the terms:
(-4 + x)(x + 1) = 10 + -3x

Reorder the terms:
(-4 + x)(1 + x) = 10 + -3x

Multiply (-4 + x) * (1 + x)
(-4(1 + x) + x(1 + x)) = 10 + -3x
((1 * -4 + x * -4) + x(1 + x)) = 10 + -3x
((-4 + -4x) + x(1 + x)) = 10 + -3x
(-4 + -4x + (1 * x + x * x)) = 10 + -3x
(-4 + -4x + (1x + x2)) = 10 + -3x

Combine like terms: -4x + 1x = -3x
(-4 + -3x + x2) = 10 + -3x

Add '3x' to each side of the equation.
-4 + -3x + 3x + x2 = 10 + -3x + 3x

Combine like terms: -3x + 3x = 0
-4 + 0 + x2 = 10 + -3x + 3x
-4 + x2 = 10 + -3x + 3x

Combine like terms: -3x + 3x = 0
-4 + x2 = 10 + 0
-4 + x2 = 10

Solving
-4 + x2 = 10

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + x2 = 10 + 4

Combine like terms: -4 + 4 = 0
0 + x2 = 10 + 4
x2 = 10 + 4

Combine like terms: 10 + 4 = 14
x2 = 14

Simplifying
x2 = 14

Take the square root of each side:
x = {-3.741657387, 3.741657387}