10x^2=4-3x

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Solution for 10x^2=4-3x equation:


Simplifying
10x2 = 4 + -3x

Solving
10x2 = 4 + -3x

Solving for variable 'x'.

Reorder the terms:
-4 + 3x + 10x2 = 4 + -3x + -4 + 3x

Reorder the terms:
-4 + 3x + 10x2 = 4 + -4 + -3x + 3x

Combine like terms: 4 + -4 = 0
-4 + 3x + 10x2 = 0 + -3x + 3x
-4 + 3x + 10x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
-4 + 3x + 10x2 = 0

Factor a trinomial.
(-4 + -5x)(1 + -2x) = 0

Subproblem 1

Set the factor '(-4 + -5x)' equal to zero and attempt to solve: Simplifying -4 + -5x = 0 Solving -4 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -5x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = 0 + 4 -5x = 0 + 4 Combine like terms: 0 + 4 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8

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 = {-0.8, 0.5}

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