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Simplifying
(5x + -3)(x + 1) = 2x
Reorder the terms:
(-3 + 5x)(x + 1) = 2x
Reorder the terms:
(-3 + 5x)(1 + x) = 2x
Multiply (-3 + 5x) * (1 + x)
(-3(1 + x) + 5x * (1 + x)) = 2x
((1 * -3 + x * -3) + 5x * (1 + x)) = 2x
((-3 + -3x) + 5x * (1 + x)) = 2x
(-3 + -3x + (1 * 5x + x * 5x)) = 2x
(-3 + -3x + (5x + 5x2)) = 2x
Combine like terms: -3x + 5x = 2x
(-3 + 2x + 5x2) = 2x
Add '-2x' to each side of the equation.
-3 + 2x + -2x + 5x2 = 2x + -2x
Combine like terms: 2x + -2x = 0
-3 + 0 + 5x2 = 2x + -2x
-3 + 5x2 = 2x + -2x
Combine like terms: 2x + -2x = 0
-3 + 5x2 = 0
Solving
-3 + 5x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + 5x2 = 0 + 3
Combine like terms: -3 + 3 = 0
0 + 5x2 = 0 + 3
5x2 = 0 + 3
Combine like terms: 0 + 3 = 3
5x2 = 3
Divide each side by '5'.
x2 = 0.6
Simplifying
x2 = 0.6
Take the square root of each side:
x = {-0.774596669, 0.774596669}
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