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

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


Simplifying
(10x2 + -5x) + (-4x + 2) = 0

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

Remove parenthesis around (-5x + 10x2)
-5x + 10x2 + (-4x + 2) = 0

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

Remove parenthesis around (2 + -4x)
-5x + 10x2 + 2 + -4x = 0

Reorder the terms:
2 + -5x + -4x + 10x2 = 0

Combine like terms: -5x + -4x = -9x
2 + -9x + 10x2 = 0

Solving
2 + -9x + 10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -5x)(1 + -2x) = 0

Subproblem 1

Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4

Subproblem 2

Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5

Solution

x = {0.4, 0.5}

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