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

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


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

Reorder the terms:
2x(5 + 4x) + x(2x + -3) = 0
(5 * 2x + 4x * 2x) + x(2x + -3) = 0
(10x + 8x2) + x(2x + -3) = 0

Reorder the terms:
10x + 8x2 + x(-3 + 2x) = 0
10x + 8x2 + (-3 * x + 2x * x) = 0
10x + 8x2 + (-3x + 2x2) = 0

Reorder the terms:
10x + -3x + 8x2 + 2x2 = 0

Combine like terms: 10x + -3x = 7x
7x + 8x2 + 2x2 = 0

Combine like terms: 8x2 + 2x2 = 10x2
7x + 10x2 = 0

Solving
7x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(7 + 10x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(7 + 10x)' equal to zero and attempt to solve:

Simplifying
7 + 10x = 0

Solving
7 + 10x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 10x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 10x = 0 + -7
10x = 0 + -7

Combine like terms: 0 + -7 = -7
10x = -7

Divide each side by '10'.
x = -0.7

Simplifying
x = -0.7
Solution
x = {0, -0.7}

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