x^2-1.4x+0.49=0.07504690431(x^2)

Solution for x^2-1.4x+0.49=0.07504690431(x^2) equation:

x^2-1.4x+0.49=0.07504690431(x^2)

We move all terms to the left:

x^2-1.4x+0.49-(0.07504690431(x^2))=0

We get rid of parentheses

x^2-0.07504690431x^2-1.4x+0.49=0

We add all the numbers together, and all the variables

0.92495309569x^2-1.4x+0.49=0

a = 0.92495309569; b = -1.4; c = +0.49;
Δ = b2-4ac
Δ = -1.42-4·0.92495309569·0.49
Δ = 0.147091932448
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1.4)-\sqrt{0.147091932448}}{2*0.92495309569}=\frac{1.4-\sqrt{0.147091932448}}{1.84990619138}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.4)+\sqrt{0.147091932448}}{2*0.92495309569}=\frac{1.4+\sqrt{0.147091932448}}{1.84990619138}
$