10x*x=17x-3

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Solution for 10x*x=17x-3 equation:


Simplifying
10x * x = 17x + -3

Multiply x * x
10x2 = 17x + -3

Reorder the terms:
10x2 = -3 + 17x

Solving
10x2 = -3 + 17x

Solving for variable 'x'.

Reorder the terms:
3 + -17x + 10x2 = -3 + 17x + 3 + -17x

Reorder the terms:
3 + -17x + 10x2 = -3 + 3 + 17x + -17x

Combine like terms: -3 + 3 = 0
3 + -17x + 10x2 = 0 + 17x + -17x
3 + -17x + 10x2 = 17x + -17x

Combine like terms: 17x + -17x = 0
3 + -17x + 10x2 = 0

Factor a trinomial.
(1 + -5x)(3 + -2x) = 0

Subproblem 1

Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 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 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2

Subproblem 2

Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5

Solution

x = {0.2, 1.5}

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