x(10x+27)=28

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Solution for x(10x+27)=28 equation:


Simplifying
x(10x + 27) = 28

Reorder the terms:
x(27 + 10x) = 28
(27 * x + 10x * x) = 28
(27x + 10x2) = 28

Solving
27x + 10x2 = 28

Solving for variable 'x'.

Reorder the terms:
-28 + 27x + 10x2 = 28 + -28

Combine like terms: 28 + -28 = 0
-28 + 27x + 10x2 = 0

Factor a trinomial.
(-7 + -2x)(4 + -5x) = 0

Subproblem 1

Set the factor '(-7 + -2x)' equal to zero and attempt to solve: Simplifying -7 + -2x = 0 Solving -7 + -2x = 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 + -2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 0 + 7 -2x = 0 + 7 Combine like terms: 0 + 7 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5

Subproblem 2

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

Solution

x = {-3.5, 0.8}

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