7x^2+3x=4

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Solution for 7x^2+3x=4 equation:


Simplifying
7x2 + 3x = 4

Reorder the terms:
3x + 7x2 = 4

Solving
3x + 7x2 = 4

Solving for variable 'x'.

Reorder the terms:
-4 + 3x + 7x2 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 3x + 7x2 = 0

Factor a trinomial.
(-1 + -1x)(4 + -7x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(4 + -7x)' equal to zero and attempt to solve: Simplifying 4 + -7x = 0 Solving 4 + -7x = 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 + -7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = 0 + -4 -7x = 0 + -4 Combine like terms: 0 + -4 = -4 -7x = -4 Divide each side by '-7'. x = 0.5714285714 Simplifying x = 0.5714285714

Solution

x = {-1, 0.5714285714}

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