7x^2+2=15x

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Solution for 7x^2+2=15x equation:


Simplifying
7x2 + 2 = 15x

Reorder the terms:
2 + 7x2 = 15x

Solving
2 + 7x2 = 15x

Solving for variable 'x'.

Reorder the terms:
2 + -15x + 7x2 = 15x + -15x

Combine like terms: 15x + -15x = 0
2 + -15x + 7x2 = 0

Factor a trinomial.
(1 + -7x)(2 + -1x) = 0

Subproblem 1

Set the factor '(1 + -7x)' equal to zero and attempt to solve: Simplifying 1 + -7x = 0 Solving 1 + -7x = 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 + -7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = 0 + -1 -7x = 0 + -1 Combine like terms: 0 + -1 = -1 -7x = -1 Divide each side by '-7'. x = 0.1428571429 Simplifying x = 0.1428571429

Subproblem 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {0.1428571429, 2}

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