(x-4)(2x+5)+3x-10=0

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Solution for (x-4)(2x+5)+3x-10=0 equation: 


Simplifying
(x + -4)(2x + 5) + 3x + -10 = 0

Reorder the terms:
(-4 + x)(2x + 5) + 3x + -10 = 0

Reorder the terms:
(-4 + x)(5 + 2x) + 3x + -10 = 0

Multiply (-4 + x) * (5 + 2x)
(-4(5 + 2x) + x(5 + 2x)) + 3x + -10 = 0
((5 * -4 + 2x * -4) + x(5 + 2x)) + 3x + -10 = 0
((-20 + -8x) + x(5 + 2x)) + 3x + -10 = 0
(-20 + -8x + (5 * x + 2x * x)) + 3x + -10 = 0
(-20 + -8x + (5x + 2x2)) + 3x + -10 = 0

Combine like terms: -8x + 5x = -3x
(-20 + -3x + 2x2) + 3x + -10 = 0

Reorder the terms:
-20 + -10 + -3x + 3x + 2x2 = 0

Combine like terms: -20 + -10 = -30
-30 + -3x + 3x + 2x2 = 0

Combine like terms: -3x + 3x = 0
-30 + 0 + 2x2 = 0
-30 + 2x2 = 0

Solving
-30 + 2x2 = 0

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + 2x2 = 0 + 30

Combine like terms: -30 + 30 = 0
0 + 2x2 = 0 + 30
2x2 = 0 + 30

Combine like terms: 0 + 30 = 30
2x2 = 30

Divide each side by '2'.
x2 = 15

Simplifying
x2 = 15

Take the square root of each side:
x = {-3.872983346, 3.872983346}

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