2(x-4)(x+5)=x(2x-10)-14

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Solution for 2(x-4)(x+5)=x(2x-10)-14 equation:


Simplifying
2(x + -4)(x + 5) = x(2x + -10) + -14

Reorder the terms:
2(-4 + x)(x + 5) = x(2x + -10) + -14

Reorder the terms:
2(-4 + x)(5 + x) = x(2x + -10) + -14

Multiply (-4 + x) * (5 + x)
2(-4(5 + x) + x(5 + x)) = x(2x + -10) + -14
2((5 * -4 + x * -4) + x(5 + x)) = x(2x + -10) + -14
2((-20 + -4x) + x(5 + x)) = x(2x + -10) + -14
2(-20 + -4x + (5 * x + x * x)) = x(2x + -10) + -14
2(-20 + -4x + (5x + x2)) = x(2x + -10) + -14

Combine like terms: -4x + 5x = 1x
2(-20 + 1x + x2) = x(2x + -10) + -14
(-20 * 2 + 1x * 2 + x2 * 2) = x(2x + -10) + -14
(-40 + 2x + 2x2) = x(2x + -10) + -14

Reorder the terms:
-40 + 2x + 2x2 = x(-10 + 2x) + -14
-40 + 2x + 2x2 = (-10 * x + 2x * x) + -14
-40 + 2x + 2x2 = (-10x + 2x2) + -14

Reorder the terms:
-40 + 2x + 2x2 = -14 + -10x + 2x2

Add '-2x2' to each side of the equation.
-40 + 2x + 2x2 + -2x2 = -14 + -10x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-40 + 2x + 0 = -14 + -10x + 2x2 + -2x2
-40 + 2x = -14 + -10x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-40 + 2x = -14 + -10x + 0
-40 + 2x = -14 + -10x

Solving
-40 + 2x = -14 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-40 + 2x + 10x = -14 + -10x + 10x

Combine like terms: 2x + 10x = 12x
-40 + 12x = -14 + -10x + 10x

Combine like terms: -10x + 10x = 0
-40 + 12x = -14 + 0
-40 + 12x = -14

Add '40' to each side of the equation.
-40 + 40 + 12x = -14 + 40

Combine like terms: -40 + 40 = 0
0 + 12x = -14 + 40
12x = -14 + 40

Combine like terms: -14 + 40 = 26
12x = 26

Divide each side by '12'.
x = 2.166666667

Simplifying
x = 2.166666667

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